**Title: Statistical Analysis of Work Hours Among Servers at Swank Bar** **Introduction:** The question at hand is whether male and female servers at Swank Bar work the same number of hours. To explore this, a study was conducted with separate samples of female and male servers. **Sample Data:** - **Female Servers:** - Sample Size: 60 - Average Hours Worked: 23 hours per week - Standard Deviation: 4 - **Male Servers:** - Sample Size: 60 - Average Hours Worked: 29 hours per week - Standard Deviation: 5 **Objective:** Let \( \mu_1 \) and \( \mu_2 \) represent the average hours worked by all female and male servers, respectively. The goal is to estimate the number of additional hours female servers work compared to male servers with a 94% confidence level, rounding answers to the nearest hundredth. **Analysis:** \[ \_\_\_ < \mu_1 - \mu_2 < \_\_\_ \] **Conclusion:** Based on the data provided, choose the option that best aligns with the findings: - Female servers work more hours - Male servers work more hours - Female and male servers work about the same number of hours This analysis will help determine if there is a statistically significant difference in the work hours between male and female servers at Swank Bar.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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**Title: Statistical Analysis of Work Hours Among Servers at Swank Bar**

**Introduction:**
The question at hand is whether male and female servers at Swank Bar work the same number of hours. To explore this, a study was conducted with separate samples of female and male servers.

**Sample Data:**
- **Female Servers:**
  - Sample Size: 60
  - Average Hours Worked: 23 hours per week
  - Standard Deviation: 4

- **Male Servers:**
  - Sample Size: 60
  - Average Hours Worked: 29 hours per week
  - Standard Deviation: 5

**Objective:**
Let \( \mu_1 \) and \( \mu_2 \) represent the average hours worked by all female and male servers, respectively. The goal is to estimate the number of additional hours female servers work compared to male servers with a 94% confidence level, rounding answers to the nearest hundredth.

**Analysis:**
\[ \_\_\_ < \mu_1 - \mu_2 < \_\_\_ \]

**Conclusion:**
Based on the data provided, choose the option that best aligns with the findings:
- Female servers work more hours
- Male servers work more hours
- Female and male servers work about the same number of hours

This analysis will help determine if there is a statistically significant difference in the work hours between male and female servers at Swank Bar.
Transcribed Image Text:**Title: Statistical Analysis of Work Hours Among Servers at Swank Bar** **Introduction:** The question at hand is whether male and female servers at Swank Bar work the same number of hours. To explore this, a study was conducted with separate samples of female and male servers. **Sample Data:** - **Female Servers:** - Sample Size: 60 - Average Hours Worked: 23 hours per week - Standard Deviation: 4 - **Male Servers:** - Sample Size: 60 - Average Hours Worked: 29 hours per week - Standard Deviation: 5 **Objective:** Let \( \mu_1 \) and \( \mu_2 \) represent the average hours worked by all female and male servers, respectively. The goal is to estimate the number of additional hours female servers work compared to male servers with a 94% confidence level, rounding answers to the nearest hundredth. **Analysis:** \[ \_\_\_ < \mu_1 - \mu_2 < \_\_\_ \] **Conclusion:** Based on the data provided, choose the option that best aligns with the findings: - Female servers work more hours - Male servers work more hours - Female and male servers work about the same number of hours This analysis will help determine if there is a statistically significant difference in the work hours between male and female servers at Swank Bar.
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