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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**Transcription for Educational Website**

**Title: Analyzing Work Hours: Male vs. Female Servers**

**Introduction:**
Do male and female servers work the same number of hours? To explore this, consider the following data: A sample of 23 female servers worked an average of 27 hours per week, with a standard deviation of 3. A sample of 17 male servers worked an average of 22 hours per week, with a standard deviation of 5.

**Objective:**
Construct an 80% confidence interval for the mean difference in hours worked by male and female servers. Assume the populations are normal with unequal variances. Round your answers to three decimal places, and use four decimal places for any interim calculations.

**Confidence Interval Construction:**
We are 80% confident that the interval (______, ______) contains the true mean difference \( \mu_1 - \mu_2 \) in hours worked between male and female servers.

**Conclusion:**
Based on your interval, which of the following do you conclude?

- ○ Female and male servers work about the same number of hours on average.
- ○ Female servers work more hours on average.
- ○ Male servers work more hours on average.

**Note:**
Ensure careful calculations to determine the difference in average work hours, providing insights into gender-related work patterns in server roles.
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Transcribed Image Text:**Transcription for Educational Website** **Title: Analyzing Work Hours: Male vs. Female Servers** **Introduction:** Do male and female servers work the same number of hours? To explore this, consider the following data: A sample of 23 female servers worked an average of 27 hours per week, with a standard deviation of 3. A sample of 17 male servers worked an average of 22 hours per week, with a standard deviation of 5. **Objective:** Construct an 80% confidence interval for the mean difference in hours worked by male and female servers. Assume the populations are normal with unequal variances. Round your answers to three decimal places, and use four decimal places for any interim calculations. **Confidence Interval Construction:** We are 80% confident that the interval (______, ______) contains the true mean difference \( \mu_1 - \mu_2 \) in hours worked between male and female servers. **Conclusion:** Based on your interval, which of the following do you conclude? - ○ Female and male servers work about the same number of hours on average. - ○ Female servers work more hours on average. - ○ Male servers work more hours on average. **Note:** Ensure careful calculations to determine the difference in average work hours, providing insights into gender-related work patterns in server roles.
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