The distribution that is used for testing a claim about given population mean .

Question

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Answer 1

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 8, Problem 1CQQ

a.

To determine

To identify: The distribution that is used for testing a claim about given population mean.

a.

Expert Solution

Answer to Problem 1CQQ

The distribution that is used for testing a claim about given population mean is the t distribution.

Explanation of Solution

The t test is used for smaller sample sizes and when the population standard deviation is not known. T test is used for testing the mean of the population with the sample or for comparing the differences of means of two samples. The t test consists the t statistic that follows student’s t distribution.

b.

To determine

To identify: The distribution that is used for testing a claim about given population proportion.

b.

Expert Solution

Answer to Problem 1CQQ

The distribution that is used for testing a claim about given population proportion is the normal distribution.

Explanation of Solution

The z test is used for larger sample sizes and when the population standard deviation is known. z test is used for testing the proportion of the population with the sample or for comparing the differences of proportion of two samples. The z test consists the z statistic that follows normal distribution.

c.

To determine

To identify: The distribution that is used for testing a claim about given population standard deviation.

c.

Expert Solution

Answer to Problem 1CQQ

The distribution that is used to test a claim about population standard deviation is χ2-distribution.

Explanation of Solution

The χ2 test is used for testing the standard deviation of the given population or comparing two standard deviations. Thus, the distribution that is used to test a claim about population standard deviation is χ2-distribution.

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Answer 2

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 8, Problem 1CQQ

a.

To determine

To identify: The distribution that is used for testing a claim about given population mean.

a.

Expert Solution

Answer to Problem 1CQQ

The distribution that is used for testing a claim about given population mean is the t distribution.

Explanation of Solution

The t test is used for smaller sample sizes and when the population standard deviation is not known. T test is used for testing the mean of the population with the sample or for comparing the differences of means of two samples. The t test consists the t statistic that follows student’s t distribution.

b.

To determine

To identify: The distribution that is used for testing a claim about given population proportion.

b.

Expert Solution

Answer to Problem 1CQQ

The distribution that is used for testing a claim about given population proportion is the normal distribution.

Explanation of Solution

The z test is used for larger sample sizes and when the population standard deviation is known. z test is used for testing the proportion of the population with the sample or for comparing the differences of proportion of two samples. The z test consists the z statistic that follows normal distribution.

c.

To determine

To identify: The distribution that is used for testing a claim about given population standard deviation.

c.

Expert Solution

Answer to Problem 1CQQ

The distribution that is used to test a claim about population standard deviation is χ2-distribution.

Explanation of Solution

The χ2 test is used for testing the standard deviation of the given population or comparing two standard deviations. Thus, the distribution that is used to test a claim about population standard deviation is χ2-distribution.

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Answer 3

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 8, Problem 1CQQ

a.

To determine

To identify: The distribution that is used for testing a claim about given population mean.

a.

Expert Solution

Answer to Problem 1CQQ

The distribution that is used for testing a claim about given population mean is the t distribution.

Explanation of Solution

The t test is used for smaller sample sizes and when the population standard deviation is not known. T test is used for testing the mean of the population with the sample or for comparing the differences of means of two samples. The t test consists the t statistic that follows student’s t distribution.

b.

To determine

To identify: The distribution that is used for testing a claim about given population proportion.

b.

Expert Solution

Answer to Problem 1CQQ

The distribution that is used for testing a claim about given population proportion is the normal distribution.

Explanation of Solution

The z test is used for larger sample sizes and when the population standard deviation is known. z test is used for testing the proportion of the population with the sample or for comparing the differences of proportion of two samples. The z test consists the z statistic that follows normal distribution.

c.

To determine

To identify: The distribution that is used for testing a claim about given population standard deviation.

c.

Expert Solution

Answer to Problem 1CQQ

The distribution that is used to test a claim about population standard deviation is χ2-distribution.

Explanation of Solution

The χ2 test is used for testing the standard deviation of the given population or comparing two standard deviations. Thus, the distribution that is used to test a claim about population standard deviation is χ2-distribution.

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Answer 4

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 8, Problem 1CQQ

a.

To determine

To identify: The distribution that is used for testing a claim about given population mean.

a.

Expert Solution

Answer to Problem 1CQQ

The distribution that is used for testing a claim about given population mean is the t distribution.

Explanation of Solution

The t test is used for smaller sample sizes and when the population standard deviation is not known. T test is used for testing the mean of the population with the sample or for comparing the differences of means of two samples. The t test consists the t statistic that follows student’s t distribution.

b.

To determine

To identify: The distribution that is used for testing a claim about given population proportion.

b.

Expert Solution

Answer to Problem 1CQQ

The distribution that is used for testing a claim about given population proportion is the normal distribution.

Explanation of Solution

The z test is used for larger sample sizes and when the population standard deviation is known. z test is used for testing the proportion of the population with the sample or for comparing the differences of proportion of two samples. The z test consists the z statistic that follows normal distribution.

c.

To determine

To identify: The distribution that is used for testing a claim about given population standard deviation.

c.

Expert Solution

Answer to Problem 1CQQ

The distribution that is used to test a claim about population standard deviation is χ2-distribution.

Explanation of Solution

The χ2 test is used for testing the standard deviation of the given population or comparing two standard deviations. Thus, the distribution that is used to test a claim about population standard deviation is χ2-distribution.

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Answer 5

Chapter 8, Problem 1CQQ

a.

To determine

To identify: The distribution that is used for testing a claim about given population mean.

a.

Expert Solution

Answer to Problem 1CQQ

The distribution that is used for testing a claim about given population mean is the t distribution.

Explanation of Solution

The t test is used for smaller sample sizes and when the population standard deviation is not known. T test is used for testing the mean of the population with the sample or for comparing the differences of means of two samples. The t test consists the t statistic that follows student’s t distribution.

b.

To determine

To identify: The distribution that is used for testing a claim about given population proportion.

b.

Expert Solution

Answer to Problem 1CQQ

The distribution that is used for testing a claim about given population proportion is the normal distribution.

Explanation of Solution

The z test is used for larger sample sizes and when the population standard deviation is known. z test is used for testing the proportion of the population with the sample or for comparing the differences of proportion of two samples. The z test consists the z statistic that follows normal distribution.

c.

To determine

To identify: The distribution that is used for testing a claim about given population standard deviation.

c.

Expert Solution

Answer to Problem 1CQQ

The distribution that is used to test a claim about population standard deviation is χ2-distribution.

Explanation of Solution

The χ2 test is used for testing the standard deviation of the given population or comparing two standard deviations. Thus, the distribution that is used to test a claim about population standard deviation is χ2-distribution.

Answer 6

Chapter 8, Problem 1CQQ

a.

To determine

To identify: The distribution that is used for testing a claim about given population mean.

a.

Expert Solution

Answer to Problem 1CQQ

The distribution that is used for testing a claim about given population mean is the t distribution.

Explanation of Solution

The t test is used for smaller sample sizes and when the population standard deviation is not known. T test is used for testing the mean of the population with the sample or for comparing the differences of means of two samples. The t test consists the t statistic that follows student’s t distribution.

Answer 7

Chapter 8, Problem 1CQQ

a.

To determine

To identify: The distribution that is used for testing a claim about given population mean.

Answer 8

a.

Expert Solution

Answer to Problem 1CQQ

The distribution that is used for testing a claim about given population mean is the t distribution.

Answer 9

a.

Expert Solution

Answer 10

a.

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

The t test is used for smaller sample sizes and when the population standard deviation is not known. T test is used for testing the mean of the population with the sample or for comparing the differences of means of two samples. The t test consists the t statistic that follows student’s t distribution.

Answer 13

b.

To determine

To identify: The distribution that is used for testing a claim about given population proportion.

b.

Expert Solution

Answer to Problem 1CQQ

The distribution that is used for testing a claim about given population proportion is the normal distribution.

Explanation of Solution

The z test is used for larger sample sizes and when the population standard deviation is known. z test is used for testing the proportion of the population with the sample or for comparing the differences of proportion of two samples. The z test consists the z statistic that follows normal distribution.

Answer 14

b.

To determine

To identify: The distribution that is used for testing a claim about given population proportion.

Answer 15

b.

Expert Solution

Answer to Problem 1CQQ

The distribution that is used for testing a claim about given population proportion is the normal distribution.

Answer 16

b.

Expert Solution

Answer 17

b.

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

The z test is used for larger sample sizes and when the population standard deviation is known. z test is used for testing the proportion of the population with the sample or for comparing the differences of proportion of two samples. The z test consists the z statistic that follows normal distribution.

Answer 20

c.

To determine

To identify: The distribution that is used for testing a claim about given population standard deviation.

c.

Expert Solution

Answer to Problem 1CQQ

The distribution that is used to test a claim about population standard deviation is χ2-distribution.

Explanation of Solution

The χ2 test is used for testing the standard deviation of the given population or comparing two standard deviations. Thus, the distribution that is used to test a claim about population standard deviation is χ2-distribution.

Answer 21

c.

To determine

To identify: The distribution that is used for testing a claim about given population standard deviation.

Answer 22

c.

Expert Solution

Answer to Problem 1CQQ

The distribution that is used to test a claim about population standard deviation is χ2-distribution.

Answer 23

c.

Expert Solution

Answer 24

c.

Expert Solution

Answer 25

Expert Solution

Answer 26

Explanation of Solution

The χ2 test is used for testing the standard deviation of the given population or comparing two standard deviations. Thus, the distribution that is used to test a claim about population standard deviation is χ2-distribution.