Free Printable Normal Distribution, Z-Score, and Bias Classwork

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Normal Distribution, Z-Score, and Bias Classwork

Total questions: 20

Worksheet time: 2hrs 31mins

Name

Class

Date

A z-score tells you...

the standard deviation of a sampling distribution.

the original raw score on which it is based.

if the distribution it comes from is normal.

how many standard deviations away from the mean a score lies.

What is the standard deviation of the distribution?

1010

√20

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.

28,000 km and 32,000 km.

24,000 km and 34,000 km.

26,000 km and 34,000 km.

27,000 km and 31,000 km.

The distribution of heights of adult American men is approximately Normal with mean 69 inches and standard deviation 2.5 inches. Between what heights do the middle 95% of men fall?

66.5-71.5

64-74

61.5-76.5

65-73

The normal curve is symmetrical about the mean.

True

False

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?

68%

34%

16%

2.5%

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

2.5

-2.5

5.2

-5.2

1) What will be the miles per gallon for a Toyota Camry when the average mpg is 23, it has a z value of 1.5 and a standard deviation of 2?

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

68%

95%

99.7%

50%

10.

What is the purpose of using a random method to get a sample?

A. Reduce bias.

B. Reduce variability.

C. Increase bias.

D. Increase variability.

11.

Adam's Z-score on a test is +2.50. What does this mean?

Adam's score has a 2.5% chance of being better than any other randomly selected score.

Adam's test score was better than 25% of his peers.

He scored 2.5 standard deviations above the average.

He did terrible.

12.

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.

68.78%

63.29%

61.06%

34.25%

13.

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

1.39%

45.34%

98.41%

22.34%

14.

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

52.97%

31.53%

48.99%

38.21%

15.

The lifetime of a particular type of car tire is normally distributed. The mean lifetime is 50,000 miles, with a standard deviation of 5,000 miles. Of a random sample of 15,000 tires, how many of the tires are expected to last for between 45,000 and 55,000 miles?

7,125

10,200

14,250

14,850

16.

What is the mean on the graph given?

(a)

17.

What is the standard deviation on the graph given?

(a)

18.

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

420

250

19.

A public library asked every 10th person who entered to name the type of book they were getting.

A. Biased

B. Not Biased

20.

A senator wants to know how she is doing. She sends a survey to 1000 registered voters in her party

Biased

Not Biased

100 %

Normal Distribution, Z-Score, and Bias Classwork

Total questions: 20

Worksheet time: 2hrs 31mins

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