Free Printable Chapter 7 test

1.

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?

a)

-1.33

b)

1.33

c)

0.88

d)

1.02

2.

The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5. What proportion of weeks would you expect to have less than 5 accidents?

a)

0.6915

b)

0.1762

c)

0.8238

d)

-0.93

3.

The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5. What proportion of weeks would you expect to have more than 7 accidents?

a)

0.3446

b)

0.2856

c)

0.4

d)

0.6554

4.

Between what two standard deviations of a normal distribution contain 68% of the data?

a)

one below and one above

b)

two below and two above

c)

two below and zero

d)

zero and two above

5.

The average waist size for teenage males is 29 inches with a standard deviation of 1.4 inch.
If waist sizes are normally distributed, estimate the proportion of teenagers who will have waist sizes greater than 31 inches?

a)

92.4%

b)

10.5%

c)

16%

d)

7.6%

6.

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

a)

100

b)

25

c)

.5

d)

1

7.

μ = 70 , σ = 8 , X = 50 . Find z score

a)

2.5

b)

-2.5

c)

5.2

d)

-5.2

8.

The z-score represents.....

a)

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

b)

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

c)

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

d)

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

9.

The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches.
Suppose a male long jumper's jump ranked in the 75th percentile. How long was his jump?

a)

0.67 inch

b)

263 inches

c)

272.44 inches

d)

277.25 inches

10.

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%

11.

Which is NOT true about the standard normal distribution?

a)

It is bell-shaped.

b)

It is unimodal.

c)

The mean is 0 and the standard deviation is 1.

d)

It is asymmetrical.

12.

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

a)

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

b)

You earned a 55% on the exam

c)

You failed the exam

d)

45% of the class scored worse than you did

13.

Find the z-score for 75 given a mean of 60 and a standard deviation of 6.

a)

-2.5

b)

2.5

c)

-1.15

d)

1.15

14.

Find the z-score for 48 given a mean of 50 and a standard deviation of 5.

a)

2.5

b)

-2.5

c)

-0.4

d)

0.4

15.

Find the z-score for 258 given a mean of 273 and a standard deviation of 5.

a)

3

b)

-2

c)

2

d)

-3

16.

Find the z-score for 62 given a mean of 30 and a standard deviation of 20.

a)

1.6

b)

-1.6

c)

11.6

d)

-11.6

17.

Find the area under the standard normal curve that lies to the left of z=2.1.

a)

1.79%

b)

-1.79%

c)

98.21%

d)

0.98%

18.

Find the area under the standard normal curve that lies to the right of z=-0.67.

a)

63.42%

b)

74.86%

c)

25.14%

d)

50%

19.

Find the area under the standard normal curve that lies between z=-0.5 and z=1.5.

a)

62.46%

b)

72.47%

c)

5.40%

d)

62.47%

20.

What percentage of scores falls within 3 standard deviations of the mean?

a)

68%

b)

34%

c)

99.7%

d)

95%

21.

Find the z-score with 4-% of the observations falling below it.

a)

z=-0.25

b)

z=-0.33

c)

z=0.25

d)

z=0.33

22.

IQ tests have a mean of 100 and SD of 16. Einstein's IQ was 160. What is the z-score of his IQ?

a)

1.75

b)

3.75

c)

0.75

d)

2.75

23.

Pat and Tom took a test with mean 80 and SD 9. Pat scored a 76; Tom scored a 94. Find the percent of people between their scores.

a)

68.78%

b)

63.29%

c)

65.14%

d)

34.25%

24.

Mean=11, SD=30. Find the raw score (X) for z=-1.5

a)

35

b)

45

c)

55

d)

65

25.

Test has a mean of 40 and a standard deviation of 10. What is the percent of people that scored above 62?

a)

1.39%

b)

45.34%

c)

98.41%

d)

22.34%

26.

Test has a mean of 40, standard deviation of 10. What is the percent of people with a score below 37?

a)

52.97%

b)

31.53%

c)

48.99%

d)

38.21%

27.

A test has a mean of 40 and a standard deviation of 10. What is the percent of people that scored between 30 and 40?

a)

68%

b)

34%

c)

13.6%

d)

100%

28.

What shape is a normal distribution curve?

a)

Half curve

b)

Round curve

c)

Bell curve

d)

Square curve

29.

The z-score represents.....

a)

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

b)

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

c)

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

d)

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

30.

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

a)

100

b)

25

c)

.5

d)

1

31.

Which is NOT true about the standard normal distribution?

a)

It is bell-shaped.

b)

It is unimodal.

c)

The mean is 0 and the standard deviation is 1.

d)

It is asymmetrical.

32.

Find the area of the shaded region.

a)

0.16

b)

0.84

c)

0.68

d)

0.34

33.

Find the area of the shaded region.

a)

0.16

b)

0.84

c)

0.68

d)

0.34

34.

Find the area of the shaded region.

a)

0.16

b)

0.84

c)

0.68

d)

0.34

35.

What's the probability of the gray area?

(Mean = 55, Standard dev = 2.5)

a)

0.8185

b)

0.8413

c)

0.8641

d)

0.8389

36.

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%

37.

Between what two standard deviations of a normal distribution contain 68% of the data?

a)

one below and one above

b)

two below and two above

c)

two below and zero

d)

zero and two above

38.

The mean GPA of students in a course at UCDavis is 3.2 with a standard deviation of 0.3. What percent of students in the course have a GPA between 2.9 and 3.8?

a)

81.5%

b)

47.5%

c)

68%

d)

95%

39.

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?

a)

-1.33

b)

1.33

c)

0.88

d)

1.02

40.

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 4.6 seconds?

a)

0.83

b)

1.07

c)

-2

d)

-1.07

41.

μ = 70 , σ = 8 , X = 50 . Find z score

a)

2.5

b)

-2.5

c)

5.2

d)

-5.2

42.

The monthly phone bills in a city are normally distributed with a mean of 30$ and a standard deviation of 12$. Find the x-value that correspond to z-scores of 3.17.

a)

$1.80

b)

$68.04

c)

$32.76

43.

What shape is a normal distribution curve?

a)

Half curve

b)

Round curve

c)

Bell curve

d)

Square curve

44.

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

a)

100

b)

25

c)

.5

d)

1

45.

Which is NOT true about the normal distribution curve?

a)

It is bell-shaped.

b)

The mean, median, and mode are approximately equal

c)

The smaller the standard deviation, the less spread in the curve.

d)

It is asymmetrical.

46.

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

a)

25%

b)

68%

c)

95%

d)

99.7%

47.

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

a)

25%

b)

68%

c)

95%

d)

99.7%

48.

1. Which best describes the shaded part of this normal distribution graph?

a)

All data that is one or higher.

b)

All data that is one or more standard deviations above the mean.

c)

All data that is between 1 and 3.

d)

All data that is above the mean.

49.

What is the Normal Range (68%) of the annual precipitation for Phoenix, if the average is 29 with a standard deviation of 3?

a)

26-32

b)

3-29

c)

26-29

d)

39-32

50.

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 percentage of golfers that are between 30 and 46 years old.

a)

68%

b)

94%

c)

95%

d)

99.7%

51.

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

52.

The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5. What proportion of weeks would you expect to have less than 5 accidents?

a)

0.6915

b)

0.1762

c)

0.8238

d)

-0.93

53.

The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5. What proportion of weeks would you expect to have more than 7 accidents?

a)

0.3446

b)

0.2856

c)

0.4

d)

0.6554

54.

The mean GPA of students in a course at UCDavis is 3.2 with a standard deviation of 0.3. What percent of students in the course have a GPA between 2.9 and 3.8?

a)

81.5%

b)

47.5%

c)

68%

d)

95%

55.

The average waist size for teenage males is 29 inches with a standard deviation of 1.4 inch.
If waist sizes are normally distributed, estimate the proportion of teenagers who will have waist sizes greater than 31 inches?

a)

92.4%

b)

10.5%

c)

16%

d)

7.6%

56.

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%

57.

Given a mean of 75 and a standard deviation of 7, what percentage of scores are above 82?

a)

34%

b)

81.5%

c)

16%

d)

2.5%

58.

Given a mean of 75 and a standard deviation of 7, how many students out of 500 would score between 68 and 82

a)

11

b)

2

c)

340

d)

498

59.

Given a mean of 75 and a standard deviation of 7, how many students out of 500 would score higher than 68?

a)

11

b)

12

c)

420

d)

250

60.

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.

61.

The distribution of heights of adult American men is approximately Normal with mean 69 inches and standard deviation 2.5 inches. What percent of men are between 64 and 66.5 inches tall?

a)

50%

b)

2.5%

c)

13.5%

d)

34%

62.

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%

63.

A coffee company packs their coffee in bags marked as 250 g. A large number of packs of coffee were weighed and the mean and standard deviation were calculated as 255 g and 2.5 g respectively.

Assuming this data is normally distributed, what percentage of packs are underweight?

a)

2.5%

b)

3.5%

c)

4%

d)

5%

64.

The ages of the population of people living in the Atlanta area are normally distributed with a mean of 43 and a standard deviation of 14.

The town has a population of 5,000. How many would you expect to be aged between 29 and 57?

This Standard Normal Distribution curve may help you solve this problem.

a)

1750

b)

3860

c)

3400

d)

4330

65.

68% of the marks in a test are between 51 and 64. Assuming this data is normally distributed, what is the mean and standard deviation?

a)

Mean: 57

Standard Deviation: 6.5

b)

Mean: 57

Standard Deviation: 7

c)

Mean: 57.5

Standard Deviation: 6.5

d)

Mean: 57.5

Standard Deviation: 13

66.

The heights of male students are Normally distributed with mean 1.7 m and standard deviation 0.2 m

In a population of 400 male students, how many would you expect to have a height between 1.4 m and 1.6 m?

a)

24

b)

54

c)

97

d)

100

67.

In a survey of men that in the United States (ages 20-29), the mean height was 69.6 inches with a standard deviation of 3.0 inches. Find the minimum height in the top 16.15%.

a)

69.37 in

b)

67.58 in

c)

72.6 in

d)

75.6

68.

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

a)

25%

b)

68%

c)

95%

d)

99.7%

69.

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

a)

25%

b)

68%

c)

95%

d)

99.7%

70.

The mean GPA of students in a course at UGA is 3.2 with a standard deviation of 0.3. What percent of students in the course have a GPA between 2.9 and 3.8?

a)

81.5%

b)

47.5%

c)

68%

d)

95%

71.

What shape is a normal distribution curve?

a)

Half curve

b)

Round curve

c)

Bell curve

d)

Square curve

72.

Between what two standard deviations of a normal distribution contain 95% of the data?

a)

one below and one above

b)

two below and two above

c)

two below and zero

d)

zero and two above

73.

Find the z-score for 75 given a mean of 60 and a standard deviation of 6.

a)

-2.5

b)

2.5

c)

-1.15

d)

1.15

74.

Find the z-score for 48 given a mean of 50 and a standard deviation of 5.

a)

2.5

b)

-2.5

c)

-0.4

d)

0.4

75.

What percentage of scores falls within 3 standard deviations of the mean?

a)

68%

b)

34%

c)

99.7%

d)

95%

76.

A test has a mean of 40 and a standard deviation of 10. What is the percent of people that scored between 30 and 40?

a)

68%

b)

34%

c)

13.6%

d)

100%

77.

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?

a)

-1.33

b)

1.33

c)

0.88

d)

1.02

78.

Between what two standard deviations of a normal distribution contain 68% of the data?

a)

one below and one above

b)

two below and two above

c)

two below and zero

d)

zero and two above

79.

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

a)

100

b)

25

c)

.5

d)

1

80.

The z-score represents.....

a)

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

b)

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

c)

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

d)

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

81.

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%

82.

Which is NOT true about the standard normal distribution?

a)

It is bell-shaped.

b)

It is unimodal.

c)

The mean is 0 and the standard deviation is 1.

d)

It is asymmetrical.

83.

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

a)

25%

b)

68%

c)

95%

d)

99.7%

84.

Based on the graph, who has the highest IQ?

a)

You

b)

Me

c)

Both have the same

d)

Not enough information

85.

Which gray area shows a probability closer to 0.5?

a)

b)

c)

d)

86.

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 percentage of golfers that are between 30 and 46 years old.

a)

68%

b)

94%

c)

95%

d)

99.7%

87.

What is the shape of the distribution?

a)

Skewed Left

b)

Skewed Right

c)

Symmetric

d)

Bimodal

88.

Describe the data distribution shape of the graph.

a)

Skewed right

b)

Skewed left

c)

Uniform

d)

Symmetrical

89.

What shape is a normal distribution curve?

a)

Half curve

b)

Round curve

c)

Bell curve

d)

Square curve

90.

If this is the graph of data normally distributed with a mean of 30 and a standard deviation of 5, what label (number) is written at the blue circle?

a)

20

b)

15

c)

40

d)

30

91.

If this is the graph of data normally distributed with a mean of 30 and a standard deviation of 5, what label (number) is written at the blue circle?

a)

40

b)

35

c)

45

d)

50

92.

The normal curve is symmetrical about the mean.

a)

True

b)

False

93.

This data is normally distributed. What percent of the data is in the shaded region?

a)

68%

b)

95%

c)

99.8%

d)

50%

94.

This data is normally distributed. What percent of the data is in the shaded region?

a)

68%

b)

32%

c)

16%

d)

50%

95.

This data is normally distributed. What percent of the data is in the shaded regions?

a)

5%

b)

95%

c)

2.5%

d)

50%

96.

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

a)

25%

b)

68%

c)

95%

d)

99.7%

97.

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

a)

25%

b)

68%

c)

95%

d)

99.7%

98.

How is the graph distributed?

a)

Normally

b)

Skewed to the Left

c)

Skewed to the Right

d)

Uniform

99.

Which is a normal distribution graph?

a)

b)

c)

d)

100.

35 is

a)

mean

b)

variance

c)

standard deviation

d)

1st quartile

101.

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

a)

100

b)

25

c)

.5

d)

1

102.

1. Which best describes the shaded part of this normal distribution graph?

a)

All data that is one or higher.

b)

All data that is one or more standard deviations above the mean.

c)

All data that is between 1 and 3.

d)

All data that is above the mean.

103.

What is the Normal Range (68%) of the annual precipitation for Phoenix, if the average is 29 with a standard deviation of 3?

a)

26-32

b)

3-29

c)

26-29

d)

39-32

104.

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 percentage of golfers that are between 30 and 46 years old.

a)

68%

b)

94%

c)

95%

d)

99.7%

105.

Name

4 lines

106.

Email

4 lines

107.

Your first question?

a)

Option 1

b)

Correct answer

c)

Option 3

d)

Option 4

108.

Your second question?

a)

Option 1

b)

Correct answer 1

c)

Option 3

d)

Correct answer 2

e)

Correct answer 3

109.

Your third question?

4 lines

110.

Based on the text above, your fourth question.

4 lines

Chapter 7 test

Total questions: 110

Worksheet time: 4hrs 47mins

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