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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**Data Collection:**

Forty-seven fast-food restaurant hourly employees were surveyed to determine their average weekly working hours. The data collected is as follows:

29, 39, 42, 25, 30, 50, 21, 44, 11, 22, 30, 27, 23, 31, 36, 29, 41, 36, 29, 40, 17, 15, 34, 40, 23, 37, 28, 12, 16, 21, 31, 45, 37, 28, 30, 35, 35, 29, 12, 35, 27, 37, 48, 35, 41, 29, 28

**Objective:**

Construct an 87% confidence interval for the mean number of hours per week that fast-food restaurant employees work.

**Parameters to Determine:**

- Sample mean (\(\bar{x}\))
- Sample standard deviation (\(s\))
- Significance level (\(\alpha\))
- Critical value (\(t_{\frac{\alpha}{2}}\))

**Calculation:**

**Margin of Error (\(E\))**:

\(E = \) [Fill in with formula and calculated value]

**Result:**

We are 87% confident that fast-food restaurant hourly employees, on average, work between [lower limit] and [upper limit] hours per week. 

This information is integral for educational purposes, helping students understand statistical methods for determining confidence intervals.
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Transcribed Image Text:**Data Collection:** Forty-seven fast-food restaurant hourly employees were surveyed to determine their average weekly working hours. The data collected is as follows: 29, 39, 42, 25, 30, 50, 21, 44, 11, 22, 30, 27, 23, 31, 36, 29, 41, 36, 29, 40, 17, 15, 34, 40, 23, 37, 28, 12, 16, 21, 31, 45, 37, 28, 30, 35, 35, 29, 12, 35, 27, 37, 48, 35, 41, 29, 28 **Objective:** Construct an 87% confidence interval for the mean number of hours per week that fast-food restaurant employees work. **Parameters to Determine:** - Sample mean (\(\bar{x}\)) - Sample standard deviation (\(s\)) - Significance level (\(\alpha\)) - Critical value (\(t_{\frac{\alpha}{2}}\)) **Calculation:** **Margin of Error (\(E\))**: \(E = \) [Fill in with formula and calculated value] **Result:** We are 87% confident that fast-food restaurant hourly employees, on average, work between [lower limit] and [upper limit] hours per week. This information is integral for educational purposes, helping students understand statistical methods for determining confidence intervals.
Expert Solution
Check Mark
Step 1: determine the given variable

n=47

87 % confidence interval


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