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13th Edition

Anderson

Publisher: CENGAGE L

ISBN: 9781305881884

Chapter 9.4, Problem 24E

Textbook Problem

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Consider the following hypothesis test:

*H*_{0}: *μ* = 18

*H*_{a}: *μ* ≠ 18

A sample of 48 provided a sample mean
*=* 17 and a sample standard deviation *s* = 4.5.

- a. Compute the value of the test statistic.
- b. Use the
*t*distribution table (Table 2 in Appendix B) to compute a range for the*p*-value. - c. At
*α =*.05, what is your conclusion? - d. What is the rejection rule using the critical value? What is your conclusion?

**a.**

To determine

Find the value of the test statistic.

**Calculation:**

The given information is that the sample size is

The hypotheses are given below:

Null hypothesis:

Alternative hypothesis:

*Test statistic:*

**Software Procedure:**

Step-by-step procedure to obtain the test statistic using the MINITAB software:

- Choose
**Stat > Basic Statistics > 1-Sample***t*

**b.**

To determine

Find the *p*-value.

**c.**

To determine

Find the conclusion.

**d.**

To determine

Find the rejection rule using the critical value and find the conclusion.

STATISTICS F/BUSINESS+ECONOMICS-TEXT

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