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9th Edition

David R. Anderson + 4 others

Publisher: South-Western College Pub

ISBN: 9780357045435

Chapter 9.9, Problem 60E

Textbook Problem

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Governmental Use of email. The Federal Government wants to determine if the mean number of business emails sent and received per business day by its employees differs from the mean number of emails sent and received per day by corporate employees, which is 101.5. Suppose the department electronically collects information on the number of business emails sent and received on a randomly selected business day over the past year from each of 10,163 randomly selected Federal employees. The results are provided in the file *FedEmail*. Test the Federal Government’s hypothesis at *α* = .01. Discuss the practical significance of the results.

To determine

Test whether the mean number of business emails sent and received per business day by its employees differs from the mean number of emails sent and received per day by corporate employees.

Explain the practical significance of the results.

**Calculation:**

The hypotheses are given below:

Null hypothesis:

Alternative hypothesis:

**Software Procedure:**

Step-by-step procedure to find the sample mean, standard deviation and sample size using the Excel:

- In the Excel sheet, enter
**Email Sent and Received**in one column. - In
**Data**, Select**Data Analysis**and Choose**Descriptive Statistics**. - In
**Input Range**Select**Email Sent and Received**and Click**Labels in First Row**. - Select
**Summary Statistics**. - Click
**Ok**.

Output using the Excel is given below:

From the output, the sample mean value is 100.47, the sample standard deviation is 25, and the sample size is 10,163.

The formula for finding test statistic is as follows:

Here, *n* represents the sample size.

Substitute 100.47 for *n* in *t* formula.

Essentials Of Statistics For Business & Economics

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