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13th Edition

Anderson

Publisher: CENGAGE L

ISBN: 9781305881884

Chapter 11.2, Problem 20E

Textbook Problem

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On the basis of data provided by a Romac salary survey, the variance in annual salaries for seniors in public accounting firms is approximately 2.1 and the variance in annual salaries for managers in public accounting firms is approximately 11.1. The salary data were provided in thousands of dollars. Assuming that the salary data were based on samples of 25 seniors and 26 managers, test the hypothesis that the population variances in the salaries are equal. At a .05 level of significance, what is your conclusion?

To determine

Conduct the hypothesis test that the population variances in the salaries are equal at

**Calculation:**

The given information is that the sample variance and sample size for seniors in public accounting firms are

Salary data for managers represent the first sample and Salary data for seniors represent the second sample.

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 > 2 Variance**. - Under
**Data**, choose**sample variance**. - In First, enter
**26**under**Sample size**. - In First, enter
**11.1**under**variance.** - In Second, enter
**25**under**Sample size**. - In Second, enter
**2.1**under**variance**

STATISTICS F/BUSINESS+ECONOMICS-TEXT

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