Forty-seven fast-food restaurant hourly employees were surveyed to see how many hours they worked per week, on average. The following data was obtained: 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 Construct a 87% confidence interval for the mean number of hours per week that the population of fast- food restaurant employees work. 18 8 α tą Margin of Error: E We are 87% confident that fast-food restaurant hourly employees, on average, work between hours and hours per week.
Forty-seven fast-food restaurant hourly employees were surveyed to see how many hours they worked per week, on average. The following data was obtained: 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 Construct a 87% confidence interval for the mean number of hours per week that the population of fast- food restaurant employees work. 18 8 α tą Margin of Error: E We are 87% confident that fast-food restaurant hourly employees, on average, work between hours and hours per week.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd65cec20-e50a-495e-bf9b-5a17b6c06d4e%2F3f778b55-f15b-423d-b765-c8e02313dd61%2F49mul3_processed.jpeg&w=3840&q=75)
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.
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n=47
87 % confidence interval
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