   # Consider the following hypothesis test: H 0 : μ = 18 H a : μ ≠ 18 A sample of 48 provided a sample mean x ¯ = 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? 13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

#### Solutions

Chapter
Section 13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884
Chapter 9.4, Problem 24E
Textbook Problem
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## Consider the following hypothesis test: H0: μ = 18Ha: μ ≠ 18A sample of 48 provided a sample mean x ¯ = 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.

### Explanation of Solution

Calculation:

The given information is that the sample size is n=48, the sample mean is x¯=17, and the sample standard deviation is s=4.5.

The hypotheses are given below:

Null hypothesis: H0:μ=18

Alternative hypothesis: Ha:μ18

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.

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