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 S8.14, 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 $7.87, 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? H:0 H₁ :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 $8.14. Fill in the blanks to describe a Type I error. A Type I error would be (Choose one) the hypothesis that is (Choose one) when, in fact, is (Choose one). V Y (Choose one) ▼ I X OO

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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 $8.14, 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 $7.87, and computes the standard deviation of the sample to be $1.25.
Based on this information, complete the parts below.
64°F
Raining now
(a) What are the null hypothesis Ho and the alternative hypothesis H₁ that should be used for the test?
H:0
H₁ :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 $8.14. Fill in the blanks to
describe a Type I error.
A Type I error would be (Choose one)
when, in fact, μ is (Choose one)
Explanation
Check
the hypothesis that is (Choose one)
OL
De
(Choose one)
μ x
W
0<0
020
X
OSO 0>0
0=0
7
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F
C
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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 $8.14, 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 $7.87, and computes the standard deviation of the sample to be $1.25. Based on this information, complete the parts below. 64°F Raining now (a) What are the null hypothesis Ho and the alternative hypothesis H₁ that should be used for the test? H:0 H₁ :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 $8.14. Fill in the blanks to describe a Type I error. A Type I error would be (Choose one) when, in fact, μ is (Choose one) Explanation Check the hypothesis that is (Choose one) OL De (Choose one) μ x W 0<0 020 X OSO 0>0 0=0 7 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center | Accessibility insert F C delete
Expert Solution
Step 1

Given that:

Population mean, μ=8.14

Mean and standard deviation of the sample are:

x¯=7.87s=1.25

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