# S W The following essay questions review the basic principles and concepts of inferential statistics. The order of the questions roughly follows the five-step model. a. Hypothesis testing or significance testing can be conducted only with a random sample. Why? b. Under what specific conditions can it be assumed that the sampling distribution is normal in shape? c. Explain the role of the sampling distribution in a test of hypothesis. d. The null hypothesis is an assumption about reality that makes it possible to test sample outcomes for their significance. Explain. e. What is the critical region? How is the size of the critical region determined? f. Describe a research situation in which a one-tailed test of hypothesis would be appropriate. g. With regard to the shape of the sampling distribution, why does use of the t distribution (as opposed to the Z distribution) make it more difficult to reject the null hypothesis? h. What exactly can he concluded in the one-sample case when the test statistic falls in the critical region?

### Essentials Of Statistics

4th Edition
HEALEY + 1 other
Publisher: Cengage Learning,
ISBN: 9781305093836

### Essentials Of Statistics

4th Edition
HEALEY + 1 other
Publisher: Cengage Learning,
ISBN: 9781305093836

#### Solutions

Chapter
Section
Chapter 7, Problem 7.18P
Textbook Problem
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## S W The following essay questions review the basic principles and concepts of inferential statistics. The order of the questions roughly follows the five-step model.a. Hypothesis testing or significance testing can be conducted only with a random sample. Why?b. Under what specific conditions can it be assumed that the sampling distribution is normal in shape?c. Explain the role of the sampling distribution in a test of hypothesis.d. The null hypothesis is an assumption about reality that makes it possible to test sample outcomes for their significance. Explain.e. What is the critical region? How is the size of the critical region determined?f. Describe a research situation in which a one-tailed test of hypothesis would be appropriate.g. With regard to the shape of the sampling distribution, why does use of the t distribution (as opposed to the Z distribution) make it more difficult to reject the null hypothesis?h. What exactly can he concluded in the one-sample case when the test statistic falls in the critical region?

Expert Solution
To determine

a)

To explain:

The given statement.

### Explanation of Solution

Given:

The given statement is,

Hypothesis testing or significance testing can be conducted only with a random sample.

Approach:

The given statement is,

Hypothesis testing or significance testing can be conducted only with a random sample...

Expert Solution
To determine

b)

To explain:

The given statement.

Expert Solution
To determine

c)

To explain:

The given statement.

Expert Solution
To determine

d)

To explain:

The given statement.

Expert Solution
To determine

e)

To explain:

The given statement.

Expert Solution
To determine

f)

To explain:

The given statement.

Expert Solution
To determine

g)

To explain:

The given statement.

Expert Solution
To determine

h)

To explain:

The given statement.

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