A union of restaurant and foodservice workers would like to estimate the mean hourly wage, mean population , 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 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 $8.45 , and computes the standard deviation of the sample to be $1.20. Based on this information, complete the parts below.
A union of restaurant and foodservice workers would like to estimate the mean hourly wage, mean population , 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 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 $8.45 , and computes the standard deviation of the sample to be $1.20.
Based on this information, complete the parts below.
(a) What are the null hypothesis and the alternative hypothesis that should be used for the test?
(b) Suppose that the union decides not to reject the null hypothesis. What sort of error might it be making? Select one: Type I or Type II
(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 error.
A Type I error would be (Select one): Rejecting or failing to reject the hypothesis that is (Select one): less than/less than or equal to/greater than/greater than or equal to/not equal to/equal to (Select one): 8.08/8.45/1.20 when, in fact, mean population is (Select one): equal to 1.20/equal to 8.08/less than 1.20/less than 8.08/greater than 8.08/greater than 8.45 .
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