A union of restaurant and food service workers would like to estimate this year's mean hourly...
A union of restaurant and food service workers would like to estimate this year's mean hourly wage, μ, of food service workers in the U.S. Last year's mean hourly wage was $8.14, and there is 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 $7.74, and computes the standard deviation of the sample to be $1.10. Based on this information, answer the questions below. What are the null hypothesis (H0) and the alternative hypothesis (H1) that should be used for the test? H0: μ is H1: μ is In the context of this test, what is a Type II error? A Type II error is the hypothesis that μ is when, in fact, μ is.
Homework Answers
from given data:
| null hypothesis: HO: μ | = | 8.14 | |
| Alternate Hypothesis: Ha: μ | < | 8.14 | |
type II error:
A Type II error is to retain the hypothesis that μ is 8.14 when in fact μ is less than 8.14
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