A Union of restaurant and foodservice workers would like to estimate the mean hourly wage, μ, of foodservice workers in the U.S. this year The mean hourly wage last year was $8.25, and there is good reason to believe that this year's value is less than last year's. The union decides to do a statistical test to see if the value has indeed decreased. The union chooses a random sample of this year's wages, computes the mea of the sample to be $7.88, and computes the standard deviation of the sample to be $1.25. 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? μ X 0<0 Oso H₁:0 H₁:0 020 (b) Suppose that the union decides not to reject the null hypothesis. What sort of error might it be making? (Choose one) ▼ X 3 (c) Suppose the true mean hourly wage for foodservice workers in the U.S. this year is $8.25. Fill in the blanks to describe a Type I error. Y A Type I error would be (Choose one). ▼ the hypothesis that u is (Choose one) (Choose one) ▼ when, in fact, u is (Choose one) >O ?

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A union of restaurant and foodservice workers would like to estimate the mean hourly wage, μ, of foodservice workers in the U.S. this year The mean hourly
wage last year was $8.25, and there is good reason to believe that this year's value is less than last year's.
The union decides to do a statistical test to see if the value has indeed decreased. The union chooses a random sample of this year's wages, computes the mean
of the sample to be $7.88, and computes the standard deviation of the sample to be $1.25.
Based on this information, complete the parts below.
(a) What are the null hypothesis Ho and the alternative hypothesis H, that should be used for the test?
HX
H:0
(b) Suppose that the union decides not to reject the null hypothesis. What sort of error might it be making?
(Choose one) ▼
(c) Suppose the true mean hourly wage for foodservice workers in the U.S. this year is $8.25. Fill in the blanks to
describe a Type I error.
H
▼
A Type I error would be (Choose one) ▾ the hypothesis that μ is (Choose one)
(Choose one) when, in fact, μ is (Choose one)
▼
O
ac
Oll
A
Continue
esc
!
1
←
2
#
3
C
$
4
%
5
6
0<0 0≤0 0>0
020 0-0 0-0
X
Ś
?
Transcribed Image Text:A union of restaurant and foodservice workers would like to estimate the mean hourly wage, μ, of foodservice workers in the U.S. this year The mean hourly wage last year was $8.25, and there is good reason to believe that this year's value is less than last year's. The union decides to do a statistical test to see if the value has indeed decreased. The union chooses a random sample of this year's wages, computes the mean of the sample to be $7.88, and computes the standard deviation of the sample to be $1.25. Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis H, that should be used for the test? HX H:0 (b) Suppose that the union decides not to reject the null hypothesis. What sort of error might it be making? (Choose one) ▼ (c) Suppose the true mean hourly wage for foodservice workers in the U.S. this year is $8.25. Fill in the blanks to describe a Type I error. H ▼ A Type I error would be (Choose one) ▾ the hypothesis that μ is (Choose one) (Choose one) when, in fact, μ is (Choose one) ▼ O ac Oll A Continue esc ! 1 ← 2 # 3 C $ 4 % 5 6 0<0 0≤0 0>0 020 0-0 0-0 X Ś ?
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