a.) Many consumer groups feel that the Country A drug approvalprocess is too easy​ and, as a​ result, too many drugs are approvedthat are later found to be unsafe. On the other​ hand, a number ofindustry lobbyists have pushed for a more lenient approval processso that pharmaceutical companies can get new drugs approved moreeasily 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 aType I or Type II error.

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

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

1.) At the 0.05 level of​ significance, is there evidence thatthe mean life is different from 7 comma 491 hours question mark7,491 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 thepopulation mean life of the light bulbs.

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