   # 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? ### Statistics for Business & Economic...

12th Edition
David R. Anderson + 4 others
Publisher: South-Western College Pub
ISBN: 9781285846323

#### Solutions

Chapter
Section ### Statistics for Business & Economic...

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.

### Explanation of Solution

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:

H0:σ2=10

Alternative hypothesis:

Ha:σ210

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

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