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STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

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STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884
Chapter 9.3, Problem 14E
Textbook Problem
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Consider the following hypothesis test:

H0: μ = 22

Ha: μ ≠ 22

A sample of 75 is used and the population standard deviation is 10. Compute the p-value and state your conclusion for each of the following sample results. Use α = .01.

  1. a. x ¯ = 23
  2. b. x ¯ = 25.1
  3. c. x ¯ = 20

a.

To determine

Find the p-value for x¯=23 and state the conclusion.

Explanation of Solution

Calculation:

The given information is that the sample size is n=75, the sample mean is x¯=23, and the population standard deviation is σ=10.

The hypotheses are given below:

Null hypothesis: H0:μ=22

Alternative hypothesis: Ha:μ22

Test statistic:

Software Procedure:

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

  • Choose Stat > Basic Statistics > 1-Sample Z.
  • In Summarized data, enter the sample size as 75 and mean as 23.
  • In Standard deviation, enter a value for s as 10.
  • In Perform hypothesis test, enter the test mean as 22

b.

To determine

Find the p-value for x¯=25.1 and state the conclusion.

c.

To determine

Find the p-value for x¯=20 and state the conclusion.

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Chapter 9 Solutions

STATISTICS F/BUSINESS+ECONOMICS-TEXT
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