Normal Distributions and Sampling Distributions

Normal Distributions and Sampling Distributions

12th Grade

17 Qs

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Normal Distributions and Sampling Distributions

Normal Distributions and Sampling Distributions

Assessment

Quiz

Mathematics

12th Grade

Practice Problem

Hard

Created by

Anthony Clark

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17 questions

Show all answers

1.

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

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The mean and standard deviation of a population are 200 and 20, respectively. Sample size is 25. 
What is the mean of the sampling distribution?

200

16

25

4

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The mean and standard deviation of a population are 200 and 20, respectively. Sample size is 25. 
What is the standard deviation of the sampling distribution?

200

16

25

4

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The average cost for a gallon of gasoline is $2.51 (source AAA.org) with a standard deviation of $0.42. Find the mean and standard error of the sampling distribution if n = 49

μx-bar = 2.51, σx-bar = 0.06

μx-bar = 0.358, σx-bar = 0.06

μx-bar = 2.51, σx-bar = 0.06

μx-bar = 2.51, σx-bar = 0.857

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Abigail is analyzing the test scores of her class, which are normally distributed. What percent of the scores fall within the shaded region?

68%

95%

99.7%

50%

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Abigail collected data on the heights of 500 students in her school, and the data is normally distributed. HOW MANY students are within two standard deviations of the mean height?

499

475

340

47500

Answer explanation

In a normal distribution, approximately 95% of the data falls within two standard deviations of the mean. For 500 people, this means about 475 people are within this range, making 475 the correct answer.

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What percent of people within 1 standard deviation of the mean?

99.7

34

68

95

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