Quiz about AP Stats chapter 1 & 2

Question 1

The area under the standard normal curve corresponding to -0.2 < z < 2.03 is

Accepted Answer

0.5581

Answer

0.5686

Answer

0.3995

Answer

0.4100

Question 2

The scores of the math portion of the SAT are approximately normal with a mean of 510 and a standard deviation of 42. Approximately what percent of students will score higher than 600?

Accepted Answer

0.0162

Answer

0.9838

Answer

0.0179

Answer

0.9821

Question 3

The life span of ladybugs is approximately normally distributed with a mean of 18 months and a standard deviation of 2.5 months. Only about 5% of ladybuds will have a lifespan outside which interval?

Accepted Answer

13 to 23 months

Answer

15.5 to 23 months

Answer

15.5 to 20.5 months

Answer

10.5 to 25.5 months

Question 4

The average high temperature in July for a midwest city is 89 degrees. What is the standard deviation if 15% of July's on record for the city have an average high temperature above 91.5 degrees? Assume average temperatures are normally distributed.

Accepted Answer

s = 2.404

Answer

s = 0.060

Answer

s = 16.667

Answer

s = 0.416

Question 5

95% of students who take the AP stats exam need between 186 and 214 minutes to complete it. What is the standard deviation of time students need to finish the exam? Assume times are normally distributed.

Accepted Answer

7 minutes

Answer

4.67 minutes

Answer

14 minutes

Answer

28 minutes

Question 6

Suppose that the mean of a set of values is 20, and the standard deviation is 3. If each value is increased by 5, what will be the mean and standard deviation of the new set of values?

Accepted Answer

mean = 25, sd = 3

Answer

mean = 25, sd = 8

Answer

mean = 20, sd = 3

Answer

mean = 20, sd = 8

Question 7

A college offers scholarships to students who score in the top 2% of students on an entrance exam. If the mean score on the exam is 176 and the standard deviation is 4, what is the minimum score a student would need to get a scholarship?

Accepted Answer

184.20

Answer

167.80

Answer

176.08

Answer

179.92

Question 8

When Sam goes to a restaurant, he always tips the server $2 plus $10% of the cost of the meal. If Sam's distribution of meal costs has a mean of $9 and a standard deviation of $3, what are the mean and standard deviation of his tip distribution?

Accepted Answer

$2.90, $0.30

Answer

$2.90, $2.30

Answer

$9.00, $3.00

Answer

$11.00, $2.00

Answer

$2.00, $0.90

Question 9

Scores on the ACT college entrance exam follow a bell-shaped distribution with mean 21 and standard deviation 5. Wayne's standardized score on the ACT was -0.6. What was Wayne's actual ACT score?

Accepted Answer

18

Answer

3

Answer

13

Answer

16

Answer

24

Question 10

Question 10.

Accepted Answer

The median is at the red line and the mean is at the yellow line

Answer

The median is at the yellow line and the mean is at the red line

Answer

The mode is at the red line and the median is at the yellow line

Answer

The mode is at the yellow line and the median is at the red line

Answer

The mode is at the red line and the mean is at the yellow line

Question 11

A different species of cockroach has weights that are approximately Normally distributed with a mean of 50 grams. After measuring the weights of many of these cockroaches, a lab assistant reports that 14% of the cockroaches weigh more than 55 grams. Based on this report, what is the approximate standard deviation of weight for this species of cockroaches?

Accepted Answer

4.6

Answer

5.0

Answer

6.2

Answer

4.0

Answer

Cannot determine without more information

Question 12

Suppose that the distance a golfer can hit the ball has an approximately normal distribution with a mean of 250 yards and a standard deviation of 10 yards.

What proportion of his hits will travel between 215 and 255 yards?

Accepted Answer

0.6912

Answer

0.3088

Answer

0.65

Answer

0.7641

Answer

0.95

Question 13

Suppose that the distance a golfer can hit the ball has an approximately normal distribution with a mean of 250 yards and a standard deviation of 10 yards.

The highest 20% of his hits will travel at least what distance?

Accepted Answer

258 yards

Answer

241 yards

Answer

249 yards

Answer

262 yards

Answer

265 yards

Question 14

What is the approximate standard deviation of the following Normal distribution?

Accepted Answer

7

Answer

1

Answer

3

Answer

9

Answer

10

Question 15

In a standard Normal distribution, what proportion of the values are less than 0.54?

Accepted Answer

0.7054

Answer

0.2946

Answer

0.0778

Answer

0.9222

Answer

This cannot be determined without the mean and standard deviation.

Question 16

If I tell you that you scored at the 55th percentile on your final exam, you would know:

Accepted Answer

55% of the class scored the same or worse than you did

Answer

You earned a 55% on the exam

Answer

You failed the exam

Answer

45% of the class scored worse than you did

Question 17

The Median is also referred to as

Accepted Answer

the 50th Percentile

Answer

the 25th Percentile

Answer

the 75th Percentile

Answer

the 100th Percentile

Question 18

The z-score represents.....

Accepted Answer

the amount of standard deviations a data value is above or below the mean.

Answer

the percentile the data value is above or below the mean.

Answer

the amount of standard deviations a data value is above or below the median.

Answer

the percent the data value is above or below the median.

Question 19

What is the purpose of z-scores?

Accepted Answer

to describe the exact location of a score within a distribution

Answer

to find the mean of the distribution

Answer

to describe the shape of the distribution

Answer

to find the standard deviation of the distribution

Question 20

The mean test score for a class was 76 with a standard deviation of 5 points, and the shape was skewed left. The teacher decides to add 4 points to every students test score. What is the new mean, standard deviation, and shape for the distribution of test scores?

Accepted Answer

mean=80, SD=5, shape is skewed left

Answer

mean=80, SD=9, shape is skewed left

Answer

mean=80, SD=5, shape is more skewed left

Answer

mean=80, SD=9, shape is approx. symmetric

Question 21

A 50 point test had a mean of 42 with a standard deviation of 5 points. The original shape of the distribution of test scores was approximately symmetric. The teacher decides to multiply all scores by 2 (so the total is out of 100). What is the new mean, standard deviation and shape for the distribution of test scores?

Accepted Answer

mean=84, SD=10, approx. symmetric

Answer

mean=84, SD=5, approx. symmetric

Answer

mean=42, SD=5, approx. symmetric

Answer

mean=84, SD=10, slightly skewed right

Question 22

A 50 point test had a mean score of 39 with a standard deviation of 4 points. The original shape of the distribution of test scores was approximately symmetric. The teacher decides to multiply all scores by 2 (so the total is out of 100) and then also add 3 points. What is the new mean, standard deviation and shape for the distribution of test scores?

Accepted Answer

mean=81, SD=8, approx. symmetric

Answer

mean=81, SD=11, approx. symmetric

Answer

mean=78, SD=8, approx. symmetric

Answer

mean=81, SD=4, approx. symmetric

Question 23

What is the median age?

Accepted Answer

45

Answer

60

Answer

55

Answer

50

Question 24

What percent of the college students surveyed have less than $2000 in debt?

Accepted Answer

75%

Answer

25%

Answer

50%

Answer

100%

Question 25

What is the total area under the normal curve in a standard normal distribution?

Accepted Answer

1

Answer

2

Answer

3

Answer

4

Question 26

The 40 yards sprint times for a soccer team are found to be normally distributed with a mean of 5.2 seconds and a standard deviation of 0.3 seconds.  What is the z-score for a player who runs a time of 5.6 seconds?

Accepted Answer

1.33

Answer

-1.33

Answer

0.88

Answer

1.02

Question 27

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?

Accepted Answer

1106 to 1194 pounds

Answer

1084 to 1216 pounds

Answer

1106 to 1150 pounds

Answer

1128 to 1172 pounds

Question 28

A statistical study calculated that the average cost of used iPhones is $230, with a standard deviation of $25. What is the probability that a select phone from the sample costs between $224 and $268?

Accepted Answer

0.5306

Answer

0.4694

Answer

0.9608

Answer

0.3409

Question 29

Question 29.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Answer

E

Question 30

Question 30.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Answer

E

Question 31

Question 31.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Answer

E

Question 32

Question 32.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Answer

E

Question 33

Question 33.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Answer

E

Question 34

Question 34.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Answer

E

Question 35

Question 35.

Accepted Answer

II and III

Answer

II only

Answer

I and II

Answer

I and III

Answer

I, II, and III

Question 36

Question 36.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Answer

E

Question 37

Question 37.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Answer

E

Question 38

Question 38.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Answer

E

Question 39

The stem-and-leaf diagram below gives the distribution of the ages in years of 20 participants at a family reunion. Which of the following statements about the distribution is correct?

Accepted Answer

The mean is larger than the median.

Answer

The first quartile is larger than the third quartile.

Answer

The distribution is strongly skewed to the left.

Answer

It makes the most sense to use the mean and standard deviation as a numerical summary of the center and spread of this distribution.

Question 40

Independently selected groups of middle-school children were given a poem to memorize. After a certain period of time, they were asked to recall as much of the poem as they could. A back-to-back stem plot of the distribution of the number of words that each group of children could correctly remember is displayed above. Which of the following statements about these data is true?

Accepted Answer

The third quartile of the Group 1 distribution is larger than the maximum value of the Group 2 distribution (that is, 25% of the Group 1 values are larger than any Group 2 value).

Answer

There are more students in Group 1 than in Group 2.

Answer

The median of the Group 2 distribution is smaller than the first quartile of the Group 1 distribution (that is, 50% of the Group 2 values are smaller than at least 75% of Group 1 values).

Answer

The mean number of words remembered for Group 1 is smaller than the mean number of words remember for Group 2.

Question 41

In which of the following situations would a pie chart be an appropriate graph to use to summarize your data?

Accepted Answer

You want to display the distribution of favorite color for the students in your statistics class.

Answer

You want to compare the percentages of students in each grade at your school who favor a certain candidate for school president.

Answer

You want to compare the life expectancies of different professions by displaying and comparing graphs of ages at death for random samples of famous scientists, authors, actors, and politicians.

Question 42

Which of the distributions displayed in the dot plots below has the highest standard deviation?

Accepted Answer

Distribution A

Answer

Distribution B

Answer

Distribution C

Question 43

According to the 1.5 x IQR rule, how many outliers are there in the data set 72, 110, 114, 115, 118, 123, 144, 156?

Accepted Answer

One

Answer

None

Answer

Two

Answer

Three

Question 44

A zoologist studying adult bears measures a number of different variables. Which of the possible variables is categorical (qualitative)?

Accepted Answer

the level of aggression (low, moderate, high) displayed by an adult bear

Answer

the weight in pounds of an adult bear

Answer

the number of fish an adult bear eats in a particular day

Question 45

An adult male aged 20-29 who is 73 inches tall would be shorter than what percent of males in his age group?

Accepted Answer

10%

Answer

15%

Answer

85%

Answer

90%

Question 46

Sally was so excited after collecting her data that she slipped and fell in the mud! She can no longer read her data but she knows the median is 35.4 inches with a range of 12 inches. Sally also realizes that she needs to add 1 inch to all her measurements because of a faulty ruler, then convert everything to feet. What would her median and range be after making these adjustments?

Accepted Answer

Median = 3.033 feet
Range = 1 foot

Answer

Median = 3.033 feet
Range = 1.083 feet

Answer

Median = 2.95 feet
Range = 1.083 feet

Answer

Median = 2.95 feet
Range = 1 foot

Question 47

A random sample of 50 students reported their gender, then selected from 4 options of one word that best described how they felt at the time. The results are summarized in the table. What percentage of males felt tired?

Accepted Answer

57.1%

Answer

1.2 %

Answer

12.0%

Answer

24.0%

Answer

54.5%

Question 48

The following bar graph gives the percent of owners of three brands of trucks who are satisfied with their truck. What is wrong with the way information is presented in this graph?

Accepted Answer

The vertical scale should begin at 0 so the Chevrolet bar doesn't look disproportionately larger than Ford and Toyota.

Answer

There should be a title and a variable label on the horizontal scale.

Answer

The vertical scale should have been measured in number of owners satisfied instead of percent of owners satisfied.

Answer

This information should have been displayed in a pie chart.

Question 49

Suppose we classify 315 randomly selected college students according to their general major field and their self-described political viewpoint. The table presents the results. Which of the following characteristics of these data supports the conclusion that there is an association between political viewpoint and general major field?

Accepted Answer

A higher proportion of students with a liberal political viewpoint major in the humanities, and a higher proportion of moderates and conservatives major in business.

Answer

The marginal distributions of the two variables are not proportional.

Answer

A similar proportion of students who major in humanities and who major in social sciences have a liberal political viewpoint.

Answer

The sample does not contain equal number of individuals in each category.

AP Stats chapter 1 & 2

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