A union of restaurant and foodservice workers would like to estimate the mean hourly wage, u, of foodservice workers in the U.S. this year The mean hourly wage last year was $8.08, 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 $7.78, and computes the standard deviation of the sample to be $1.10. Based on this information, complete the parts below. (a) What are the null hypothesis H and the alternative hypothesis H₁ that should be used for the test? HO H₁ :0 (b) Suppose that the union decides 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 $8.08. Fill in the blanks describe a Type I error. ▼ A Type I error would be (Choose one) the hypothesis that u is (Choose one) (Choose one) when, in fact, u is (Choose one) u μ O

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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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 $8.08, 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 $7.78, and computes the standard deviation of the sample to be $1.10.
Based on this information, complete the parts below.
(a) What are the null hypothesis Ho and the alternative hypothesis H₁ that should be used for the test?
μ
X
OSO
O>0
H₂ : O
H₁ :0
0=0 0#0
(b) Suppose that the union decides 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 $8.08. Fill in the blanks to
describe a Type I erro
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<O
ロミロ
X
а
c.
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 $8.08, 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 $7.78, and computes the standard deviation of the sample to be $1.10. Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis H₁ that should be used for the test? μ X OSO O>0 H₂ : O H₁ :0 0=0 0#0 (b) Suppose that the union decides 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 $8.08. Fill in the blanks to describe a Type I erro 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<O ロミロ X а c.
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