The reason for prefer the t procedure to the z procedure for inference about population mean.

Question

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Answer 1

Question

Chapter 20, Problem 20.15CYS

To determine

To find: The reason for prefer the t procedure to the z procedure for inference about population mean.

Expert Solution & Answer

Answer to Problem 20.15CYS

Option (b)

Explanation of Solution

Reason for the correct option:

Prefer the t procedures to the z procedures for inference about a population mean because z procedures require that the population standard deviation is known but the t procedures are not required.

Reason for the incorrect answer:

For both test procedures, the data or observations considered as simple random sample from the population and the observations are from a normal population. Therefore,

Option (a) and Option (c) are incorrect.

Therefore, the correct option is (b), “z requires that you know the population standard deviation σ , while t does not”.

Statistics Concept Introduction

Introduction:

Conditions for inference about a one-sample t test:

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

Conditions for inference about a one-sample z test:

Simple random sample from the population.
Observations are from a normal population.
Population standard deviation is known.

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Answer 2

Question

Chapter 20, Problem 20.15CYS

To determine

To find: The reason for prefer the t procedure to the z procedure for inference about population mean.

Expert Solution & Answer

Answer to Problem 20.15CYS

Option (b)

Explanation of Solution

Reason for the correct option:

Prefer the t procedures to the z procedures for inference about a population mean because z procedures require that the population standard deviation is known but the t procedures are not required.

Reason for the incorrect answer:

For both test procedures, the data or observations considered as simple random sample from the population and the observations are from a normal population. Therefore,

Option (a) and Option (c) are incorrect.

Therefore, the correct option is (b), “z requires that you know the population standard deviation σ , while t does not”.

Statistics Concept Introduction

Introduction:

Conditions for inference about a one-sample t test:

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

Conditions for inference about a one-sample z test:

Simple random sample from the population.
Observations are from a normal population.
Population standard deviation is known.

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Answer 3

Question

Chapter 20, Problem 20.15CYS

To determine

To find: The reason for prefer the t procedure to the z procedure for inference about population mean.

Expert Solution & Answer

Answer to Problem 20.15CYS

Option (b)

Explanation of Solution

Reason for the correct option:

Prefer the t procedures to the z procedures for inference about a population mean because z procedures require that the population standard deviation is known but the t procedures are not required.

Reason for the incorrect answer:

For both test procedures, the data or observations considered as simple random sample from the population and the observations are from a normal population. Therefore,

Option (a) and Option (c) are incorrect.

Therefore, the correct option is (b), “z requires that you know the population standard deviation σ , while t does not”.

Statistics Concept Introduction

Introduction:

Conditions for inference about a one-sample t test:

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

Conditions for inference about a one-sample z test:

Simple random sample from the population.
Observations are from a normal population.
Population standard deviation is known.

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Answer 4

Question

Chapter 20, Problem 20.15CYS

To determine

To find: The reason for prefer the t procedure to the z procedure for inference about population mean.

Expert Solution & Answer

Answer to Problem 20.15CYS

Option (b)

Explanation of Solution

Reason for the correct option:

Prefer the t procedures to the z procedures for inference about a population mean because z procedures require that the population standard deviation is known but the t procedures are not required.

Reason for the incorrect answer:

For both test procedures, the data or observations considered as simple random sample from the population and the observations are from a normal population. Therefore,

Option (a) and Option (c) are incorrect.

Therefore, the correct option is (b), “z requires that you know the population standard deviation σ , while t does not”.

Statistics Concept Introduction

Introduction:

Conditions for inference about a one-sample t test:

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

Conditions for inference about a one-sample z test:

Simple random sample from the population.
Observations are from a normal population.
Population standard deviation is known.

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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 20, Problem 20.15CYS

To determine

To find: The reason for prefer the t procedure to the z procedure for inference about population mean.

Expert Solution & Answer

Answer to Problem 20.15CYS

Option (b)

Explanation of Solution

Reason for the correct option:

Prefer the t procedures to the z procedures for inference about a population mean because z procedures require that the population standard deviation is known but the t procedures are not required.

Reason for the incorrect answer:

For both test procedures, the data or observations considered as simple random sample from the population and the observations are from a normal population. Therefore,

Option (a) and Option (c) are incorrect.

Therefore, the correct option is (b), “z requires that you know the population standard deviation σ , while t does not”.

Statistics Concept Introduction

Introduction:

Conditions for inference about a one-sample t test:

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

Conditions for inference about a one-sample z test:

Simple random sample from the population.
Observations are from a normal population.
Population standard deviation is known.

Answer 6

Chapter 20, Problem 20.15CYS

To determine

To find: The reason for prefer the t procedure to the z procedure for inference about population mean.

Expert Solution & Answer

Answer to Problem 20.15CYS

Option (b)

Explanation of Solution

Reason for the correct option:

Prefer the t procedures to the z procedures for inference about a population mean because z procedures require that the population standard deviation is known but the t procedures are not required.

Reason for the incorrect answer:

For both test procedures, the data or observations considered as simple random sample from the population and the observations are from a normal population. Therefore,

Option (a) and Option (c) are incorrect.

Therefore, the correct option is (b), “z requires that you know the population standard deviation σ , while t does not”.

Statistics Concept Introduction

Introduction:

Conditions for inference about a one-sample t test:

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

Conditions for inference about a one-sample z test:

Simple random sample from the population.
Observations are from a normal population.
Population standard deviation is known.

Answer 7

Chapter 20, Problem 20.15CYS

To determine

To find: The reason for prefer the t procedure to the z procedure for inference about population mean.

Answer 8

Expert Solution & Answer

Answer to Problem 20.15CYS

Option (b)

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Reason for the correct option:

Prefer the t procedures to the z procedures for inference about a population mean because z procedures require that the population standard deviation is known but the t procedures are not required.

Reason for the incorrect answer:

For both test procedures, the data or observations considered as simple random sample from the population and the observations are from a normal population. Therefore,

Option (a) and Option (c) are incorrect.

Therefore, the correct option is (b), “z requires that you know the population standard deviation σ , while t does not”.