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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 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?

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STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

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Section
BuyFindarrow_forward

STATISTICS F/BUSINESS+ECONOMICS-TE...

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 = 18

Ha: μ ≠ 18

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

  1. a. Compute the value of the test statistic.
  2. b. Use the t distribution table (Table 2 in Appendix B) to compute a range for the p-value.
  3. c. At α = .05, what is your conclusion?
  4. 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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Chapter 9 Solutions

STATISTICS F/BUSINESS+ECONOMICS-TEXT
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