Question

a.) Many consumer groups feel that the Country A drug approval process is too easy​ and, as a​ result, too many drugs are approved that are later found to be unsafe. On the other​ hand, a number of industry lobbyists have pushed for a more lenient approval process so that pharmaceutical companies can get new drugs approved more easily and quickly. Consider a null hypothesis that a​ new, unapproved drug is unsafe and an alternative hypothesis that a​ new, unapproved drug is safe. Explain the risks of committing a Type I or Type II error.

b.) A magazine reported that at the top 50 business schools in a​ region, students studied an average of 16.8 hours. Set up a hypothesis test to try to prove that the mean number of hours studied at your school is different from the reported 16.8 hour benchmark. State the null and alternative hypotheses.

c.) The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7,491 hours. The population standard deviation is 900 hours. A random sample of 81 light bulbs indicates a sample mean life of 7,241 hours.

1.) At the 0.05 level of​ significance, is there evidence that the mean life is different from 7 comma 491 hours question mark 7,491 hours? Let μ be the population mean. Determine the null​ hypothesis, H0​, and the alternative​ hypothesis, H1.

2.) Compute the​ p-value and interpret its meaning.

3.) Construct a 95​% confidence interval estimate of the population mean life of the light bulbs.

4.) Compare the results of​ (a) and​ (c). What conclusions do you​ reach?

Answer 1

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