A union of restaurant and foodservice workers would like to estimate this year's mean hourly wage, u, of foodservice workers in the U.S. Last year's mean hourly wage was $8.14, and there is good reason to believe that this year's value is different from last year's. The union decides to do a statistical test to see if the value has indeed changed. The union chooses a random sample of this year's wages, computes the mean of the sample to be $8.44, and computes the standard deviation of the sample to be $1.20. Based on this information, complete the parts below.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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(a) What are the null hypothesis 
H0
 and the alternative hypothesis 
H1
 that should be used for the test?
H0:
H1:
(b) Suppose that the union decides to reject the null hypothesis. What sort of error might it be making?
  ▼(Choose one)  
(c) Fill in the blanks to describe the Type II error that could occur if this year's true mean hourly wage for foodservice workers in the U.S. is 
$8.49
.
A Type II error would be ▼(Choose one) the hypothesis that 
μ
 is ▼(Choose one) ▼(Choose one) when, in fact, 
μ
 is ▼(Choose one) .
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
A union of restaurant and foodservice workers would like to estimate this year's mean hourly wage, u, of foodservice workers in the U.S. Last year's mean
hourly wage was $8.14, and there is good reason to believe that this year's value is different from last year's.
The union decides to do a statistical test to see if the value has indeed changed. The union chooses a random sample of this year's wages, computes the mean
of the sample to be $8.44, and computes the standard deviation of the sample to be $1.20.
Based on this information, complete the parts below.
Transcribed Image Text:A union of restaurant and foodservice workers would like to estimate this year's mean hourly wage, u, of foodservice workers in the U.S. Last year's mean hourly wage was $8.14, and there is good reason to believe that this year's value is different from last year's. The union decides to do a statistical test to see if the value has indeed changed. The union chooses a random sample of this year's wages, computes the mean of the sample to be $8.44, and computes the standard deviation of the sample to be $1.20. Based on this information, complete the parts below.
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