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Mean and Standard Deviation of Sampling Distributions

Authored by Anthony Clark

Mathematics

12th Grade

Mean and Standard Deviation of Sampling Distributions
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The average speed of 1500 vehicles traveled on a stretch of highway that day is 67 miles per hour with a standard deviation of 3.5 miles per hour. If 100 vehicles are randomly selected as samples, what would be the mean of the resulting sampling distribution of sample means?

63.5

67

70.5

74

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The average speed of 1500 vehicles traveled on a stretch of highway that day is 67 miles per hour with a standard deviation of 3.5 miles per hour. If 100 vehicles are randomly selected as samples, what would be the standard error of the resulting sampling distribution of sample means?

0.52

0.43

0.34

0.25

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A population has a mean of 60 and a standard deviation of 5. A random sample of 16 measurements is drawn from this population. Describe the sampling distribution of the sample means by computing its mean. Assume that the population is infinite.

60

65

70

75

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A population has a mean of 60 and a standard deviation of 5. A random sample of 16 measurements is drawn from this population. Describe the sampling distribution of the sample means by computing its standard deviation. Assume that the population is infinite.

5.00

3.75

2.50

1.25

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The normal curve shown represents the sampling distribution of a sample mean for sample size n = 25, selected at random from a population with standard deviation sd. Which of the following is the best estimate of the standard deviation of the population, sd ?75

3

6

15

30

75

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

These symbols represent the mean and standard deviation for which of the following distributions?

The Population

The Sample

The Sampling Distribution

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

These symbols represent the mean and standard deviation for which of the following distributions?

The Population

The Sample

The Sampling Distribution

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