A union of restaurant and foodservice workers would like to estimate the mean hourly wage of foodservice workers in the U S this

Question

A union of restaurant and foodservice workers would like to estimate the mean hourly wage of foodservice workers in the U S this year The mean hourly wage last year 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 56 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 Ho and the alternative hypothesis H that should be used for the test Ho H b Suppose that the union decides to reject the null hypothesis What sort of error might it be making Type I Type II c Suppose the true mean hourly wage for foodservice workers in the U S this year is 8 61 Fill in the blanks to describe a Type II error A Type II error would be rejecting failing to reject the hypothesis that u is less than less than or equal to greater than greater than or equal to not equal to equal to 8 16 1 20 8 56 when in fact u is equal to 1 20 equal to 8 16 less than 1 20 less than 8 16 less than 8 56 greater than 8 16

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