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 $8.16, and there is good reason to believe that this year's value is greater than last year's. The union decides to do a statistical test to see if the value has indeed increased. The union chooses a random sample of this year's wages, computes the mean of the sample to be $8.46, and computes the standard deviation of the sample to be $1.15. Based on this information, complete the parts below. (a) What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test? H, :0 O

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A union of restaurant and foodservice workers would like to estimate this year's mean hourly wage, µ, of foodservice workers in the U.S. Last year's mean
hourly wage was $8.16, and there is good reason to believe that this year's value is greater than last year's.
The union decides to do a statistical test to see if the value has indeed increased. The union chooses a random sample of this year's wages, computes the mean
of the sample to be $8.46, and computes the standard deviation of the sample to be $1.15.
Based on this information, complete the parts below.
(a) What are the null hypothesis H. and the alternative hypothesis H, that should be used for the test?
Ho
OSO
O<O
H, :0
O#0
D=0
(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 I error that could occur if this year's true mean hourly wage for foodservice workers in
the U.S. is $8.16.
the hypothesis that u is (Choose one)
(Choose one)
A Type I error would be (Choose one)
when, in fact, µ is (Choose one)
Transcribed Image Text:A union of restaurant and foodservice workers would like to estimate this year's mean hourly wage, µ, of foodservice workers in the U.S. Last year's mean hourly wage was $8.16, and there is good reason to believe that this year's value is greater than last year's. The union decides to do a statistical test to see if the value has indeed increased. The union chooses a random sample of this year's wages, computes the mean of the sample to be $8.46, and computes the standard deviation of the sample to be $1.15. Based on this information, complete the parts below. (a) What are the null hypothesis H. and the alternative hypothesis H, that should be used for the test? Ho OSO O<O H, :0 O#0 D=0 (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 I error that could occur if this year's true mean hourly wage for foodservice workers in the U.S. is $8.16. the hypothesis that u is (Choose one) (Choose one) A Type I error would be (Choose one) when, in fact, µ is (Choose one)
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