1) If you use a 0.01 level of significance in a (two-tail) hypothesis test, what is you decision rule for rejecting a null hypothesis that the population mean is 500 if you use the Z test? 2) Do students at your school study more, less or about the same as at other business schools? Business Week reported that at the top 50 business schools, students studied an average of 14.6 hours (data extracted from “Cracking the Books” SPECIAL REPORT/online extra, www.businessweek.com March 19, 2007). Set up a hypothesis test to try to prove that the mean number of hours studied at your school is different from the 14.6 hour benchmark reported by Business Week. a) State the null and alternative hypotheses. b) What is a Type 1 error for your test? c) What is a Type 2 error for your test? 3) the quality control manager at a lightbulb factory needs to determine whether the mean life of a large shipment of lightbulbs is equal to the specified value of 375 hours. State the null and alternative hypotheses.
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