MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Concept explainers

Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear re…
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Topic Video
Question
**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.
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Transcribed Image Text:**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
Check Mark
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:

Statistics homework question answer, step 1, image 1

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

Decision Rule:

Reject H0 if t>1.796

 

 

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