Free Printable College Statistics Final

1.

What kind of correlation?

a)

Positive

b)

Negative

c)

No

2.

What kind of correlation?

a)

Positive

b)

Negative

c)

No

3.

What kind of correlation?

a)

Positive

b)

Negative

c)

No

4.

What kind of correlation?

a)

Positive

b)

Negative

c)

No

5.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = 1.2

b)

B) r = 0.89

c)

C)r = 0

d)

D) r = -0.89

6.

What would be an appropriate correlation (r) relating the number of kids you have and the number of points the Vikings score in a game?

a)

r = 1

b)

r = 0.43

c)

r = 0

d)

r = - 0.35

e)

r = -1

7.

A correlation value (r) that has a strong, positive linear association would have a value close to

a)

1

b)

0

c)

-1

d)

Cannot be answered

8.

The scatter plot below shows the number of books read by students in Mrs. Hall’s English class and their final grades. Which statement represents the best description about the line of best fit?

a)

A) The more books students read, the lower their English grade.

b)

B) The more books students read, the higher their English grade.

c)

C) The fewer books students read, the higher their English grade.

d)

D) No relationship exists between the number of books students read and their English grades.

9.

As x increases, y increases

a)

A) correlation coefficient

b)

B) causation

c)

C) positive correlation

d)

D) negative correlation

10.

As x increases, y decreases.

a)

A) no correlation

b)

B) negative correlation

c)

C) correlation coefficient

d)

D) positive correlation

11.

How do you calculate a residual?

a)

Observed - Predicted

b)

Predicted - Observed

12.

Residuals are . . .

a)

possible models not explored by the researcher

b)

variation in the response variable that is explained by the model

c)

the difference between the observed response and the values predicted by the model

d)

data collected from individuals that is not consistent with the rest of the group

13.

Shown is a residual plot. Would a linear regression model of the data be most appropriate?

a)

YES

b)

NO

14.

Estimate the correlation coefficient.

a)

r = -0.8

b)

r = -0.5

c)

r = 0.5

d)

r = 0.8

15.

Estimate the correlation coefficient for this scatterplot.

a)

r = 1.2

b)

r = 0.89

c)

r = 0

d)

r = -0.89

16.

Shown is a residual plot. Would a linear regression model of the data be most appropriate?

a)

YES

b)

NO

17.

In a scatterplot r is called

a)

Coefficient of Determination

b)

Correlation coefficient

c)

Regression Line

d)

Slope

18.

A scatter plot and residual plot are the same thing.

a)

True

b)

False

19.

LSRL stands for

a)

Least Sum Regression Line

b)

Least Squares Regression Line

c)

Lower Standard Regression Line

d)

Line Scatterplot Regression Line

20.

The Coefficient of Determination is

a)

r squared

b)

r

c)

r times the standard deviation of y over the standard deviation of x

d)

a + bx

21.

The scatter plot shows the number coffee shops in different cities and the number of violent crimes. Which of the following is NOT true?

a)

A) As the number of coffee shops increase, violent crimes appears to increase.

b)

B) The line of best fit (regression line) shows a positive correlation

c)

C) The data has a positive correlation coefficient

d)

D) An increase in coffee shops causes an increase in violent crimes

22.

a)

This residual graph represents a linear fit.

b)

This graph represents a nonlinear fit.

c)

This residual graph represents no fit.

23.

a)

This residual plot represents a linear fit.

b)

This residual plot represents a nonlinear fit.

c)

This residual plot represents no fit.

24.

a)

Positive, strong

b)

Positive, weak

c)

Negative, strong

d)

Negative, weak

25.

a)

Positive, strong

b)

Positive, weak

c)

Negative, strong

d)

Negative, weak

26.

The linear regression equation is y = 61.93x - 1.79. Use the equation to predict how far this person will travel after 10 hours of driving.

a)

10 miles

b)

617.5 miles

c)

0.19 miles

d)

500 miles

27.

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

a)

y = 1.5x + 12

b)

y = 12x + 1.5

c)

y = 0.67x - 8

d)

y = -8x + 0.67

28.

A person travels by car. They record their miles driven in a data table. Calculate the linear regression equation of this data.

a)

y = 61.93x - 1.79

b)

y = -1.79x + 61.93

c)

y = 0.016x + 0.03

d)

y = 0.03x + 0.016

29.

The annual profits for a company are given in the following table, where x represents the number of years since 1992, and y represents the profit in thousands of dollars. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, estimate the year in which the profits would reach 378 thousand dollars.

a)

2029

b)

2014

c)

2003

d)

8753

30.

The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 1994, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the projected number of new cases for 2003, rounded to the nearest whole number.

a)

974

b)

25,101

c)

940

d)

952

31.

If Joe worked 30 hours, how much is he expected to earn?

a)

$600

b)

$200

c)

$1000

d)

$800

32.

The symbol for the sample proportion is __________.

a)

Z_c

b)

p̂

c)

E

d)

q

33.

The confidence level of an interval estimate of a parameter is the probability that the interval estimate will contain the parameter.

a)

True

b)

False

34.

Find the value of z_c for a 90% confidence interval.

a)

-1.96

b)

1.645

c)

1.440

d)

-1.598

35.

A sample of 400 racing cars showed that 80 cars cost over $700,000. What is the 99% confidence interval of the true proportion of cars costing over $700,000?

a)

0.001 < p < 0.005

b)

0.566 < p < 0.693

c)

0.148 < p < 0.252

d)

0.023 < p < 0.045

36.

A recent study of 750 Internet users in Europe found that 35% of Internet users were women. What is the 95% confidence interval of the true proportion of women in Europe who use the Internet?

a)

0.321 < p < 0.379

b)

0.316 < p < 0.384

c)

0.309 < p < 0.391

d)

0.305 < p < 0.395

37.

A survey of 800 women shoppers found that 17% of them shop on impulse. What is the 98% confidence interval for the true proportion of women shoppers who shop on impulse?

a)

0.148 < p < 0.192

b)

0.136 < p < 0.204

c)

0.144 < p < 0.196

d)

0.139 < p < 0.201

38.

A sample of 20 cupcakes found the interval for average calories to be (150, 350). Which is the correct interpretation of the 95% confidence interval?

a)

We are 95% confident that the true mean caloric content can be found with a sample of 150 to 350 cupcakes.

b)

We are 95% confident that the interval (150, 350) captures the true average caloric content.

c)

We are 95% confident that a sample of 20 cupcakes will find 250 calories per cupcake.

d)

None of these are correct.

39.

A quality control specialist at a glass factory must estimate the mean clarity rating for a new batch of glass using a sample of 18 glass sheets from the batch. Past investigations show that clarity ratings are normally distributed. The specialist decides to use a t-distribution rather than a z-distribution because ...

a)

The t distribution is more accurate than a z distribution.

b)

Clarity ratings for the entire bacth are normally distributed.

c)

The t-distribution will create a narrower interval than z.

d)

The standard deviation for the population is unknown.

40.

Thirty randomly selected students took the calculus final. If the sample mean was 92 and the standard deviation was 9.4, construct a 99 percent confidence interval for the mean score of all students from which the sample was gathered.

a)

89.08 < μ < 94.92

b)

87.27 < μ < 96.73

c)

87.29 < μ < 96.71

d)

87.77 < μ < 96.23

41.

Which of the following does NOT have an affect on the width of a confidence interval?

a)

Sample mean

b)

t*

c)

Sample standard deviation

d)

Sample size

42.

Which of the following changes to a study would result in a narrower confidence interval?

a)

increasing the confidence level, increasing the sample size

b)

decreasing the confidence level, decreasing the sample size

c)

increasing the confidence level, decreasing the sample size

d)

decreasing the confidence level, increasing the sample size.

43.

In a crash test of 15 troopers, collision repair costs are found to have a distribution that is approximately normal, with a mean of $1800 and a standard deviation of $950. Construct a 99% confidence interval for the repair cost for the population.

a)

(1070, 2530)

b)

(1273, 2326)

c)

(1799, 1801)

d)

(1776, 1823)

44.

An IQ test was given to a simple random sample of 75 students at a certain college. The sample mean score was 105.2. Scores on this test are known to have a standard deviation of 10. It is desired to construct a 90% confidence interval for the mean IQ scores of the students at the college.

Find the critical value.

a)

0.90

b)

1.155

c)

1.645

d)

±1.645

45.

The lifetime of a certain type of batter is known to be normally distributed with a standard deviation of 20 hours. A sample of 50 batteries had a mean lifetime of 120.1 hours. It is desired to construct a 99% confidence interval for the mean lifetime of this type of battery.

What is the Confidence Interval to one decimal place?

a)

(114.5, 125.6)

b)

(112.8, 127.4)

c)

(112.82, 127.38)

d)

(114.56, 125.64)

46.

A research group wishes to estimate the mean amount of time (in hours) that members of a fitness center spend exercising each week. They want to estimate the mean within a margin of error of 0.5 hours with a 95% level of confidence. Previous data suggests that the standard deviation of the population is 2.2. Which of the following is the smallest sample size they could use?

a)

60

b)

75

c)

90

d)

180

47.

The football coach randomly selected ten players and timed how long each player took to perform a certain drill. The times (in minutes) were: 13.2, 5.1, 7.5, 8.0, 12.7, 7.6, 13.8, 14.5, 7.7, and 10.5. Determine a 95 percent confidence interval for the mean time for all players.

a)

12.30 < μ < 7.82

b)

7.82 < μ < 12.30

c)

7.72 < μ < 12.40

d)

12.40 < μ < 7.72

48.

A random sample of students at a college shows that 54 of 200 students had part-time jobs. We want to see if the proportion of all college students with part time jobs is greater than the national average.

a)

1 sample t-test

b)

1 prop t-test

c)

1 prop z-test

d)

1 sample z-test

49.

A group of musicians count how many times they can snap their fingers in 10 seconds with their dominant hands and with their nondominant hands. They will test to see if musicians can snap faster with dominant hands than nondominant hands

a)

1 sample t test

b)

1 prop z test

c)

1 sample z test

d)

1 prop t test

50.

A tire manufacturer tests the braking performance of one of its tire models on a test track. From long-term records, the company knows the value of σ .

The company tried the tires on 10 different cars, recording the stopping distance for each car on both wet and dry pavement. Is there evidence to suggest the brakes work better on dry pavement?

a)

1 sample z test

b)

1 sample t test

c)

1 prop z test

d)

1 prop t test

51.

Students investigating the packaging of potato chips purchased 6 bags of Lay's Ruffles marked with a net weight of 28.3 grams. They carefully weighed the contents of each bag in order to determine if the bags were underweight.

a)

1 sample t test

b)

1 sample z test

c)

1 prop t test

d)

1 prop z test

52.

Suppose that the present success rate in treating a certain type of lung cancer is .75. A research group hopes to demonstrate that the success rate of a new treatment of this cancer is better. What are the null and alternative hypotheses?

a)

H_o : μ = 0.75, H_a : μ < 0.75

b)

H_o : π > 0.75, H_a : π = 0.25

c)

H_o : π = 0.75, H_a : π > 0.75

d)

None of these.

53.

At the Chrysler manufacturing plant, there is a part that is supposed to weigh precisely 19 pounds. The engineers take a sample of parts and want to know if they meet the weight specifications. What are our null and alternative hypotheses?

a)

H_o : μ = 17, H_a : μ ≠ 19

b)

H_o : μ = 19, H_a : μ ≠ 19

c)

H_o : μ = 19, H_a : μ ≠ 17

d)

H_o : μ = 17, H_a : μ ≠ 17

54.

Sally reads a newspaper report claiming that 12% of all adults in the U.S. are left-handed. She decides to test this claim. Sally selects a random sample of 55 classmates and finds that 9 were left-handed. Does this provide sufficient evidence that the proportion of lefties in Sally’s school is different than the national figure? Use α = 0.01.

Which is the correct conclusion for this test?

a)

Since p-value = 0.319, I reject H₀. There is enough evidence to suggest a difference.

b)

Since p-value = .0319, I reject H_o. There is not enough evidence to suggest a difference.

c)

Since p-value = 0.319, I fail to reject H₀. There is not enough evidence to suggest a difference.

d)

Since p-value = .0319 , I fail to reject H₀. There is enough evidence to suggest a difference.

55.

Which of the following represents the appropriate null & alternative hypotheses?

The mean height of women is greater than 64"

a)

H₀: μ > 64"

Hₐ: μ ≠ 64"

b)

H₀: μ < 64"

Hₐ: μ > 64"

c)

H₀: p > 64"

Hₐ: p ≠ 64"

d)

H₀: p = 64"

Hₐ: p > 64"

56.

Identify the correct null hypothesis:

Is the proportion of babies born male different from 50%? In a sample of 200 babies, 96 were male. Test the claim using a level of significance of 1%.

a)

H₀: p = 0.50

b)

H₀: µ = 100

c)

H₀: p = 0.48

d)

H₀: µ = 96

57.

A researcher conducts a 1-proportion hypothesis test of H_O: p = 0.3 against the alternative H_A: p > 0.3 and determines the z value to be 1.43. What is the p-value?

a)

0.153

b)

0.076

c)

0.924

d)

0.382

58.

A researcher conducts a 1-proportion hypothesis test of H_O: p = 0.05 against the alternative H_A: p < 0.05 and determines the z value to be -2.71. What is the p-value?

a)

0.480

b)

0.477

c)

0.0034

d)

0.0228

59.

A large-scale study found that 42% of Americans play video games. A random sample of 1100 teenagers were asked whether they play games online; 575 said they did. Is there sufficient evidence to suggest that the proportion of teens who play video games is different from the national figure? Use a 5% level of significance.

Select the correct hypotheses. (2 answers)

a)

H0: p = 0.42

b)

Ha: p = 0.42

c)

H0: p = 775/1100

d)

Ha: p ≠ 0.42

e)

Ha: p ≠ 775/1100

60.

A large-scale study found that 42% of Americans play video games. A random sample of 1100 teenagers were asked whether they play games online; 575 said they did. Is there sufficient evidence to suggest that the proportion of teens who play video games is different from the national figure? Use a 5% level of significance.

Which is the correct p-value for this test?

a)

5.08 x 10 ^-12

b)

2.84 x 10 ^-91

c)

2.56 x 10 ^-12

d)

0

61.

A nationwide survey of 1500 adults asked about attitudes toward “alternative medicine” such as acupuncture, massage therapy, etc. Among the 1500 respondents, 660 said they would use alternative medicine if traditional medicine was not producing the results they wanted. Do these data provide enough evidence to suggest that less than half of all adults would use alternative medicine if traditional medicine didn’t produce their desired results? Use a 5% level of significance.

Which is the correct p-value for this test?

a)

0.002

b)

0.999

c)

0.500

d)

0.000

62.

A nationwide survey of 1500 adults asked about attitudes toward “alternative medicine” such as acupuncture, massage therapy, etc. Among the 1500 respondents, 660 said they would use alternative medicine if traditional medicine was not producing the results they wanted. Do these data provide enough evidence to suggest that less than half of all adults would use alternative medicine if traditional medicine didn’t produce their desired results? Use a 5% level of significance.

Which is the correct conclusion for this test?

a)

Snice p-value = 0.000 < 0.05, I reject H0. There is enough evidence to suggest that the proportion is less than half.

b)

Snice p-value = 0.000>0.05 I reject H0. There is enough evidence to suggest that the proportion is less than half.

c)

Snice p-value = 0.000 < 0.05, I fail to reject H0. There is enough evidence to suggest that the proportion is less than half.

d)

Snice p-value = 0.000 < 0.05, I fail to reject H0. There is not enough evidence to suggest that the proportion is less than half.

63.

Sally reads a newspaper report claiming that 12% of all adults in the U.S. are left-handed. She decides to test this claim. Sally selects a random sample of 55 classmates and finds that 9 were left-handed. Does this provide sufficient evidence that the proportion of lefties in Sally’s school is different than the national figure? Use α = 0.01.

Select the correct hypotheses. (2 answers)

a)

H0: p = 0.12

b)

Ha: p = 0.12

c)

H0: p = 9/55

d)

Ha: p ≠ 0.12

e)

Ha: p ≠ 9/55

64.

Sally reads a newspaper report claiming that 12% of all adults in the U.S. are left-handed. She decides to test this claim. Sally selects a random sample of 55 classmates and finds that 9 were left-handed. Does this provide sufficient evidence that the proportion of lefties in Sally’s school is different than the national figure? Use α = 0.01.

Which is the correct p-value for this test?

a)

0.160

b)

0.319

c)

0.508

d)

0.492

65.

A principal at a school is worries that his students are below average intelligence. A random sample of 30 students’ IQ scores has a mean of 96. Given that IQ scores are Normally distributed with a mean of 100 and standard deviation of 15, is there sufficient evidence to support the principal’s claim?

What is the p-value associated with that z-score?

a)

.0721

b)

.3936

c)

.9279

d)

.6064

66.

The policy of a particular bank branch is that its ATMs must be stocked with enough cash to satisfy customers making withdrawals over an entire weekend. At this branch the expected average amount of money withdrawn from ATM machines per customer transaction over the weekend is $160 with an expected standard deviation of $30. Suppose that a random sample of 36 customer transactions is examined and it is observed that the sample mean withdrawal is $172. Will the ATM be stocked enough for the weekend?

What is the p-value associated with that z-score?

a)

.9918

b)

.6554

c)

.9664

d)

.9192

67.

The policy of a particular bank branch is that its ATMs must be stocked with enough cash to satisfy customers making withdrawals over an entire weekend. At this branch the expected average amount of money withdrawn from ATM machines per customer transaction over the weekend is $160 with an expected standard deviation of $30. Suppose that a random sample of 36 customer transactions is examined and it is observed that the sample mean withdrawal is $172. Will the ATM be stocked enough for the weekend?

What is the p-value to solve the actual problem?

a)

.0082

b)

.9918

c)

.6554

d)

.3446

68.

The policy of a particular bank branch is that its ATMs must be stocked with enough cash to satisfy customers making withdrawals over an entire weekend. At this branch the expected average amount of money withdrawn from ATM machines per customer transaction over the weekend is $160 with an expected standard deviation of $30. Suppose that a random sample of 36 customer transactions is examined and it is observed that the sample mean withdrawal is $172. Will the ATM be stocked enough for the weekend?

What is the appropriate conclusion?

a)

Reject the H₀

b)

Fail to reject the H₀

c)

Reject the H_a

d)

Fail to reject the H_a

69.

The policy of a particular bank branch is that its ATMs must be stocked with enough cash to satisfy customers making withdrawals over an entire weekend. At this branch the expected average amount of money withdrawn from ATM machines per customer transaction over the weekend is $160 with an expected standard deviation of $30. Suppose that a random sample of 36 customer transactions is examined and it is observed that the sample mean withdrawal is $172. Will the ATM be stocked enough for the weekend?

What is the z-score?

a)

2.4

b)

-2.4

c)

.4

d)

-.4

70.

The policy of a particular bank branch is that its ATMs must be stocked with enough cash to satisfy customers making withdrawals over an entire weekend. At this branch the expected average amount of money withdrawn from ATM machines per customer transaction over the weekend is $160 with an expected standard deviation of $30. Suppose that a random sample of 36 customer transactions is examined and it is observed that the sample mean withdrawal is $172. Will the ATM be stocked enough for the weekend?

What is the alternative hypothesis?

a)

μ = $172

b)

μ < $160

c)

μ > $160

d)

μ ≠ $172

71.

The policy of a particular bank branch is that its ATMs must be stocked with enough cash to satisfy customers making withdrawals over an entire weekend. At this branch the expected average amount of money withdrawn from ATM machines per customer transaction over the weekend is $160 with an expected standard deviation of $30. Suppose that a random sample of 36 customer transactions is examined and it is observed that the sample mean withdrawal is $172. Will the ATM be stocked enough for the weekend?

What is the null hypothesis?

a)

μ = $160

b)

μ = $172

c)

μ < $160

d)

μ > $160

72.

A principal at a school is worries that his students are below average intelligence. A random sample of 30 students’ IQ scores has a mean of 96. Given that IQ scores are Normally distributed with a mean of 100 and standard deviation of 15, is there sufficient evidence to support the principal’s claim?

What is your conclusion?

a)

Reject the H₀

b)

Fail to reject the H₀

c)

Reject the Ha

d)

Fail to reject the H_a

73.

A principal at a school is worries that his students are below average intelligence. A random sample of 30 students’ IQ scores has a mean of 96. Given that IQ scores are Normally distributed with a mean of 100 and standard deviation of 15, is there sufficient evidence to support the principal’s claim?

What is the z-score?

a)

-1.46

b)

-.27

c)

.27

d)

1.46

74.

A principal at a school is worries that his students are below average intelligence. A random sample of 30 students’ IQ scores has a mean of 96. Given that IQ scores are Normally distributed with a mean of 100 and standard deviation of 15, is there sufficient evidence to support the principal’s claim?

What is the alternative hypothesis?

a)

μ = 96

b)

μ < 100

c)

μ > 100

d)

μ ≠ 100

75.

A principal at a school is worries that his students are below average intelligence. A random sample of 30 students’ IQ scores has a mean of 96. Given that IQ scores are Normally distributed with a mean of 100 and standard deviation of 15, is there sufficient evidence to support the principal’s claim?

What is the null hypothesis?

a)

μ = 96

b)

μ = 100

c)

μ < 100

d)

μ > 100

76.

If the p-value is below 5%, the conclusion is to...

a)

Reject the H₀

b)

Fail to reject the H₀

77.

When writing the conclusion, what are the possibilities?

a)

Reject the H₀

b)

Accept the H₀

c)

Fail to reject the H_a

d)

Fail to reject the H₀

78.

When conducting a hypothesis test, what is the fourth step?

a)

Writing the hypotheses

b)

Finding the z-score

c)

Finding the p-value

d)

Writing the conclusion

79.

A P-value indicates:

a)

the probability that the null hypothesis is true

b)

the probability that the alternative hypothesis is true

c)

the probability of obtaining the results (or one more extreme) if the null hypothesis is true

d)

probability of a Type I error

80.

When do you use a t-value instead of a z-value?

a)

When n < 30

b)

When n ≥ 30

c)

When all of the planets align

d)

When Ms. O said to

81.

The null and alternative hypothesis can be the same.

a)

Yes

b)

No

c)

Maybe

d)

All the above

82.

A level of significance of 5% means:

a)

There's a 5% chance we're wrong

b)

There's a 5% chance we'll be wrong if we fail to reject the null hypothesis

c)

There's a 5% chance we'll be wrong if we reject the null hypothesis.

d)

There's a 5% chance you'll get an A on the test.

83.

A manufacturer claims that his tires last at least 40,000

miles. A test on 25 tires reveals that the mean life of a tire

is 39,750 miles, with a standard deviation of 387 miles.

Test the Manufacturer’s claim at α = .01.

a)

Reject Ho

b)

Reject Ha

c)

Fail to reject Ho

d)

Fail to reject Ha

84.

What shape is a normal distribution curve?

a)

Half curve

b)

Round curve

c)

Bell curve

d)

Square curve

85.

What is the percentage of data that falls within one standard deviation of the mean?

a)

67%

b)

65%

c)

72%

d)

68%

86.

What is the percentage of data that falls within two standard deviations of the mean?

a)

68%

b)

99.7%

c)

95%

d)

98%

87.

What is the percentage of data that falls within three standard deviations of the mean?

a)

99.7%

b)

98.7%

c)

95%

d)

100%

88.

The Empirical Rule's percents are:

a)

68-95.7-99

b)

68-95-99.7

c)

68.7-95-99

89.

The Empirical Rule's percents are:

a)

68-95.7-99

b)

68-95-99.7

c)

68.7-95-99

90.

The Empirical (68-95-99.7) Rule can be applied only if data is ....

a)

Normally Distributed

b)

Uniform

c)

Skewed

d)

Symmetric

91.

According to the empirical rule, what percentage of data falls within 1 standard deviation?

a)

25%

b)

68%

c)

95%

d)

99.7%

92.

According to the empirical rule, how much of the data falls within 3 standard deviations?

a)

25%

b)

68%

c)

95%

d)

99.7%

93.

Which of the following is a disadvantage of the Empirical Rule?

a)

There is no result for 3 standard deviations.

b)

It is very conservative.

c)

There is no result for 1 standard deviation.

d)

The data has to be approximately normal.

94.

When labeling the axis for a normal distribution curve, the notation $\sigma$ is used to represent standard deviation. What is this Greek letter $\sigma$ called?

a)

Omega

b)

Delta

c)

Lowercase Sigma

d)

Lowercase Omega

95.

In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 1150 pounds and a standard deviation of 22 pounds. Approximately 95% of molds filled by this machine will hold weights in what interval?

a)

1084 to 1216 pounds

b)

1106 to 1150 pounds

c)

1106 to 1194 pounds

d)

1128 to 1172 pounds

96.

At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What percentage of students at the high school have a GPA between 2.3 and 3.5?

a)

68%

b)

99.7%

c)

95%

d)

84%

97.

The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.

a)

28,000 km and 32,000 km.

b)

24,000 km and 34,000 km.

c)

26,000 km and 34,000 km.

d)

27,000 km and 31,000 km.

98.

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?

a)

68%

b)

34%

c)

16%

d)

2.5%

99.

Use the following information and the Empirical Rule to estimate the answer.

The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.

Find the proportion of golfers that are between 30 and 46 years old.

a)

68%

b)

94%

c)

95%

d)

99.7%

100.

Use the following information and the Empirical Rule to estimate the answer.

The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.

Find the proportion of golfers that are older than 42.

a)

13.5%

b)

16%

c)

50%

d)

85%

101.

Use the following information and the Empirical Rule to estimate the answer.

The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.

There are 500 golf members at the Mathy Country Club. How many are younger than 34?

a)

16

b)

80

c)

100

d)

150

102.

Use the following information and the Empirical Rule to estimate the answer.

The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.

There are 500 golf members at the Mathy Country Club. How many are younger than 34?

a)

16

b)

80

c)

100

d)

150

103.

If we want to calculate the probability of rolling a 6 for the first time on the 6^th roll of a die, would we use the geometric or the binomial distribution?

a)

geometric

b)

binomial

104.

Which of the following is false about binomial probabilities?

a)

Their distributions are approximately symmetric.

b)

Trials must be fixed.

c)

Events musts be independent.

d)

The probability of success must be 0.50

105.

When rolling a fair die 100 times, what is the probability of rolling a "4" exactly 25 times? Is this an example of binomial or geometric?

a)

binomial

b)

geometric

106.

Which one of these variables is a continuous random variable?

a)

The time it takes a randomly selected student to complete an exam.

b)

The number of tattoos a randomly selected person has.

c)

The number of women taller than 68 inches in a random sample of 5 women.

d)

The number of correct guesses on a multiple choice test.

107.

Which one of these variables is a discrete random variable?

a)

Time it takes a randomly selected student to complete a multiple choice exam.

b)

The heights of randomly selected students in the class.

c)

Distance between the students' home and school.

d)

Number of pairs of shoes a randomly selected person owns.

108.

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Do not replace the card. Repeat the process 5 times. Let X = the card you observe.

a)

Yes

b)

No, the trials are not independent.

c)

No, there are more than 2 outcomes

109.

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Put the card back in the deck, shuffle again. Repeat the process 50 times. Let X = the number of aces you observe.

a)

Yes

b)

No, the trials are not independent.

c)

No, there are more than 2 outcomes

110.

Which of the following is NOT an assumption of the Binomial distribution?

a)

All trials must be independent.

b)

Each trial must be classified as a success or a failure.

c)

All trials are dependent on each other.

d)

The number of successes in the trials is counted.

111.

If you want to know how many trials you will need before your first success, use the ????? model.

a)

Geometric

b)

Binomial

c)

Normal

d)

Calculator

112.

If you want a certain number of successes in a set amount of trials, use the ????? model.

a)

geometric

b)

binomial

c)

normal

d)

calculato

113.

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school. What is the probability that the tenth blood donor is the first donor with Type B blood?

a)

approximately 0.00

b)

0.316

c)

0.0385

d)

0.279

114.

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school.What is the probability that exactly 2 of the first 20 blood donors have Type B blood?

a)

0.316

b)

0.282

c)

0.001

d)

Not here

115.

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school. What is the probability that at least 2 of the first 10 blood donors has Type B blood? (Hint: It may help to use the complement.)

a)

0.088

b)

0.697

c)

0.214

d)

0.303

116.

The owner of a pet store is trying to decide whether to discontinue selling specialty clothes for pets. She suspects that only 4% of the customers buy specialty clothes for their pets. What is the probability that she does NOT sell a garment until the 7th customer? Assume each customer is independent.

a)

0.033

b)

0.027

c)

0.0313

d)

Not here

117.

The owner of a pet store is trying to decide whether to discontinue selling specialty clothes for pets. She suspects that only 4% of the customers buy those clothes. The owner had 275 customers that day. Assuming this was a typical day, what is the mean and standard deviation of customers who buy specialty clothes?

a)

11 customers, give or take 3.25

b)

25 customers, give or take 24.5

c)

11 customers, give or take 3.32

d)

Not enough information.

118.

Bob is taking a 100 question test. They have a 90 % probability of getting any one question correct. WHICH IS THE CORRECT FORMULA TO FIND OUT THE PROBABILITY that they will answer EXACTLY 70 questions correctly?

a)

₁₀₀C₇₀ ( 0.18 )³⁰ ( 0.90 )⁷⁰

b)

₁₀₀C₇₀ ( 0.10 )³⁰ ( 0.90 )⁶⁰

c)

₁₀₀C₇₀ ( 0.10 )³⁰ ( 0.90 )⁷⁰

d)

₉₉C₇₀ ( 0.10 )³⁰ ( 0.90 )⁷⁰

119.

32 percent of beach goers end up with some form of sunburn on any given day. Find the mean of a survey of 75 beach goers.

a)

25

b)

24

c)

2600

d)

I don't go to the beach

120.

32 percent of beach goers end up with some form of sunburn on any given day. Find the standard deviation of a survey of 75 beach goers.

a)

16.32

b)

17.14

c)

4.04

d)

24

121.

A test consists of 10 multiple choice questions with five choices for each question. As an experiment, you GUESS on each and every answer without even reading the questions.

What is the probability of getting exactly 6 questions correct on this test?

a)

(10C6)(1/5)⁶(4/5)⁴

b)

(10C5)(1/5)⁶(4/5)⁴

c)

(10C6)(1/5)⁶(4/5)⁵

d)

(10C5)(1/6)⁵(5/6)⁵

122.

When rolling a fair die 100 times, what is the probability of rolling a "4" exactly 25 times?

a)

(100C25)(1/6)²⁵(5/6)⁷⁵

b)

(100C25)(1/6)²⁵(5/6)¹⁰⁰

c)

(100C4)(1/4)²⁵(3/4)⁷⁵

d)

(100C4)(1/6)²⁵(5/6)⁷⁵

123.

Suppose that a quiz consists of 20 True-False questions. A student hasn't studied for the exam and will just randomly guesses at all answers (with True and False equally likely). How would you find the probability that the will student get 8 or fewer answers correct?

a)

Find the probability that X=8 in a binomial distribution with n = 20 and p=0.5.

b)

Find the area between 0 and 8 in a uniform distribution that goes from 0 to 20.

c)

Find the probability that X=8 for a normal distribution with mean of 10 and standard deviation of √5

d)

Find the cumulative probability for 8 in a binomial distribution with n = 20 and p = 0.5.

College Statistics Final

Total questions: 123

Worksheet time: 4hrs 13mins

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