Question

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 meu for Food Service workers in the US. last year's meu hourly wage was \$8.16 and there is 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 it can be concluded that the men has increased. the union choose a random sample of 50 wages from this year. suppose that the population of hourly wages of food service workers in the US has a standard deviation of \$1.25 and that the union performs its hypothesis test using the 0.1 level of significance. based on this information answer the questions below carry your intermediate computations to at least four decimal places and round your responses as indicated. what are the null hypothesis that the union should use for the test? what is the alternative hypothesis that the union should use for the test ? what is the probability that the union rejects the null hypothesis when in fact it is true round your responses to at least two decimal places. assuming that the actual value of meu is \$8.42, what is the probability that the union rejects the null hypothesis, round your response to at least two decimal places. suppose that the union decided to perform another statistical test using the same population the same null and alternative hypothesis and the same sample size but for the second test the union uses a significance level of 0.01 instead of a significant level of 0.1. assuming that the actual value of meu is \$8.42, how does the probability that the union commits a type II error in this second test compared to the probability that the union commits a type 2 error in the original test.

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