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12th Edition

David R. Anderson + 4 others

Publisher: South-Western College Pub

ISBN: 9781285846323

Chapter 11, Problem 29SE

Textbook Problem

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A sample of 9 days over the past six months showed that a dentist treated the following numbers of patients: 22, 25, 20, 18, 15, 22, 24, 19, and 26. If the number of patients seen per day is normally distributed, would an analysis of these sample data reject the hypothesis that the variance in the number of patients seen per day is equal to 10? Use a .10 level of significance. What is your conclusion?

To determine

Check whether the sample data reject the hypothesis that the variance in the number of patients seen per day is equal to 10. Explain the conclusion.

**Calculation:**

In a sample of 9 days, the dentist treated the following number of patients 22, 25, 20, 18, 15, 22, 24, 19, and 26.

**Software procedure:**

Step-by-step procedure to obtain the sample variance using the MINITAB software:

- Choose
**Stat > Basic Statistics > Display Descriptive Statistics**. - In
**Variables,**enter the columns**C1**. - In
**Statistics,**select**variance.** - Click
**OK**.

Output using the MINITAB software is given below:

Thus, the sample variance is 12.69.

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 variance**. - Select
**sample variance.** - In
**sample size,**enter the value**9.** - In
**sample variance,**enter the value**12.69.** - In
**Perform hypothesis test,**enter**Hypothesised variance.** - In
**value,**enter the value**10**

Statistics for Business & Economics, Revised (MindTap Course List)

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