**Comparing Daily Travel Expenses: A Statistical Exercise**Ms. Lisa Mannin is the budget director for Nexus Media Inc. She would like to compare the daily travel expenses of the sales staff and the audit staff. She collected the following sample information:- **Sales ($):** 129, 133, 147, 159, 138, 143- **Audit ($):** 124, 102, 126, 140, 146, 105, 139**Hypothesis Testing at the 0.10 Significance Level***Objective:* Can she conclude that the mean daily expenses are greater for the sales staff than the audit staff?1. **State the Decision Rule (Round 3 Decimal Places):** - Reject $ H_0 $ if $ t > $ _______2. **Compute the Pooled Estimate of the Population Variance (Round 2 Decimal Places):** - **Pooled Variance:** _______3. **Compute the Test Statistic (Round 3 Decimal Places):** - **Value of the Test Statistic:** _______This exercise involves performing a hypothesis test to determine if there is a statistically significant difference in the mean travel expenses between two groups, specifically focusing on comparing mean values using a t-test.

Name: **Comparing Daily Travel Expenses: A Statistical Exercise**Ms. Lisa M
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Description: **Comparing Daily Travel Expenses: A Statistical Exercise**Ms. Lisa Mannin is the budget director for Nexus Media Inc. She would like to compare the daily travel expenses of the sales staff and the audit staff. She collected the following sample inf

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Section: Chapter Questions

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**Comparing Daily Travel Expenses: A Statistical Exercise**

Ms. Lisa Mannin is the budget director for Nexus Media Inc. She would like to compare the daily travel expenses of the sales staff and the audit staff. She collected the following sample information:

- **Sales ($):** 129, 133, 147, 159, 138, 143
- **Audit ($):** 124, 102, 126, 140, 146, 105, 139

**Hypothesis Testing at the 0.10 Significance Level**

*Objective:* Can she conclude that the mean daily expenses are greater for the sales staff than the audit staff?

1. **State the Decision Rule (Round 3 Decimal Places):**
- Reject $ H_0 $ if $ t > $ _______

2. **Compute the Pooled Estimate of the Population Variance (Round 2 Decimal Places):**
- **Pooled Variance:** _______

3. **Compute the Test Statistic (Round 3 Decimal Places):**
- **Value of the Test Statistic:** _______

This exercise involves performing a hypothesis test to determine if there is a statistically significant difference in the mean travel expenses between two groups, specifically focusing on comparing mean values using a t-test.

Expert Solution

Step 1

Excel Procedure:

Enter the data for ‘sales’ and ‘Audit’ in Excel sheet>Data>Data Analysis>Select ‘t-Test: Two-Sample Assuming Equal Variances’ and click on ‘OK’>Select the column of ‘sales’ under ‘Variable 1 Range’>Select the column of ‘Audit’ under ‘Variable 2 Range’>Enter 0 under ‘Hypothesized Mean Difference’>Click on ‘OK’.

Excel Output:

From the output, the one sided critical value is 1.796.

Decision Rule:

Reject H0 if t>1.796

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