The Confidence interval for the mean score of all 12 th -graders in the United States.

Question

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Answer 1

Question

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Chapter 21, Problem 21.16CYS

To determine

To find: The Confidence interval for the mean score of all 12^th-graders in the United States.

Expert Solution & Answer

Answer to Problem 21.16CYS

To give a confidence interval for the mean score of all 12^th-graders in the United States, you would use the one-sample t interval.

Explanation of Solution

Reason for the correct answer:

Here, only one independent random sample of 12^th-graders in the United States will be used to get a confidence interval for the mean score 152 out of 300 of all 12^th-graders. Hence, the one-sample t interval is used to find the confidence interval for the mean score of all 12^th-graders in the United States.

Reason for the incorrect answer:

The two sample t interval and matched pairs t interval is incorrect options because there is only one sample (of twelfth-graders) described in the given problem.

Conclusion:

Therefore, the correct option is (c).

Statistics Concept Introduction

Introduction:

The general conditions to use the one-sample t interval are given below:

Simple random sample from the population.
Observations are from a normal population.

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Answer 2

Question

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Chapter 21, Problem 21.16CYS

To determine

To find: The Confidence interval for the mean score of all 12^th-graders in the United States.

Expert Solution & Answer

Answer to Problem 21.16CYS

To give a confidence interval for the mean score of all 12^th-graders in the United States, you would use the one-sample t interval.

Explanation of Solution

Reason for the correct answer:

Here, only one independent random sample of 12^th-graders in the United States will be used to get a confidence interval for the mean score 152 out of 300 of all 12^th-graders. Hence, the one-sample t interval is used to find the confidence interval for the mean score of all 12^th-graders in the United States.

Reason for the incorrect answer:

The two sample t interval and matched pairs t interval is incorrect options because there is only one sample (of twelfth-graders) described in the given problem.

Conclusion:

Therefore, the correct option is (c).

Statistics Concept Introduction

Introduction:

The general conditions to use the one-sample t interval are given below:

Simple random sample from the population.
Observations are from a normal population.

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Answer 3

Question

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Chapter 21, Problem 21.16CYS

To determine

To find: The Confidence interval for the mean score of all 12^th-graders in the United States.

Expert Solution & Answer

Answer to Problem 21.16CYS

To give a confidence interval for the mean score of all 12^th-graders in the United States, you would use the one-sample t interval.

Explanation of Solution

Reason for the correct answer:

Here, only one independent random sample of 12^th-graders in the United States will be used to get a confidence interval for the mean score 152 out of 300 of all 12^th-graders. Hence, the one-sample t interval is used to find the confidence interval for the mean score of all 12^th-graders in the United States.

Reason for the incorrect answer:

The two sample t interval and matched pairs t interval is incorrect options because there is only one sample (of twelfth-graders) described in the given problem.

Conclusion:

Therefore, the correct option is (c).

Statistics Concept Introduction

Introduction:

The general conditions to use the one-sample t interval are given below:

Simple random sample from the population.
Observations are from a normal population.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Chapter 21, Problem 21.16CYS

To determine

To find: The Confidence interval for the mean score of all 12^th-graders in the United States.

Expert Solution & Answer

Answer to Problem 21.16CYS

To give a confidence interval for the mean score of all 12^th-graders in the United States, you would use the one-sample t interval.

Explanation of Solution

Reason for the correct answer:

Here, only one independent random sample of 12^th-graders in the United States will be used to get a confidence interval for the mean score 152 out of 300 of all 12^th-graders. Hence, the one-sample t interval is used to find the confidence interval for the mean score of all 12^th-graders in the United States.

Reason for the incorrect answer:

The two sample t interval and matched pairs t interval is incorrect options because there is only one sample (of twelfth-graders) described in the given problem.

Conclusion:

Therefore, the correct option is (c).

Statistics Concept Introduction

Introduction:

The general conditions to use the one-sample t interval are given below:

Simple random sample from the population.
Observations are from a normal population.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 21, Problem 21.16CYS

To determine

To find: The Confidence interval for the mean score of all 12^th-graders in the United States.

Expert Solution & Answer

Answer to Problem 21.16CYS

To give a confidence interval for the mean score of all 12^th-graders in the United States, you would use the one-sample t interval.

Explanation of Solution

Reason for the correct answer:

Here, only one independent random sample of 12^th-graders in the United States will be used to get a confidence interval for the mean score 152 out of 300 of all 12^th-graders. Hence, the one-sample t interval is used to find the confidence interval for the mean score of all 12^th-graders in the United States.

Reason for the incorrect answer:

The two sample t interval and matched pairs t interval is incorrect options because there is only one sample (of twelfth-graders) described in the given problem.

Conclusion:

Therefore, the correct option is (c).

Statistics Concept Introduction

Introduction:

The general conditions to use the one-sample t interval are given below:

Simple random sample from the population.
Observations are from a normal population.

Answer 6

Chapter 21, Problem 21.16CYS

To determine

To find: The Confidence interval for the mean score of all 12^th-graders in the United States.

Expert Solution & Answer

Answer to Problem 21.16CYS

To give a confidence interval for the mean score of all 12^th-graders in the United States, you would use the one-sample t interval.

Explanation of Solution

Reason for the correct answer:

Here, only one independent random sample of 12^th-graders in the United States will be used to get a confidence interval for the mean score 152 out of 300 of all 12^th-graders. Hence, the one-sample t interval is used to find the confidence interval for the mean score of all 12^th-graders in the United States.

Reason for the incorrect answer:

The two sample t interval and matched pairs t interval is incorrect options because there is only one sample (of twelfth-graders) described in the given problem.

Conclusion:

Therefore, the correct option is (c).

Statistics Concept Introduction

Introduction:

The general conditions to use the one-sample t interval are given below:

Simple random sample from the population.
Observations are from a normal population.

Answer 7

Chapter 21, Problem 21.16CYS

To determine

To find: The Confidence interval for the mean score of all 12^th-graders in the United States.

Answer 8

Expert Solution & Answer

Answer to Problem 21.16CYS

To give a confidence interval for the mean score of all 12^th-graders in the United States, you would use the one-sample t interval.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Reason for the correct answer:

Here, only one independent random sample of 12^th-graders in the United States will be used to get a confidence interval for the mean score 152 out of 300 of all 12^th-graders. Hence, the one-sample t interval is used to find the confidence interval for the mean score of all 12^th-graders in the United States.

Reason for the incorrect answer:

The two sample t interval and matched pairs t interval is incorrect options because there is only one sample (of twelfth-graders) described in the given problem.

Conclusion:

Therefore, the correct option is (c).