I. A large national surcey shows diat the waiting tunes for fast food restaurants is approximately normally distributed widi a mean of = minutes and a standard deviation of c = minutes. A fast food company claim that their mean waiting time m line E less than 42 minutes. To test the clam, a random sample of cutomers is selected, and is found to have a mean of 3.7 minutes. We will ur this sample data to test the st food outlets claim at a significanre level ofu = 0.05 a) Set up hypotheses Ho and Ha to test the company' s claim. Go to STAT TESTS, and choose Z-test select the STATS option and enter the given sample mfonnation_ b) State the test statistic and pvalue given by the calculator c) Compare the p-value to u = _ 05 _ State the appropnate decmon (eier Reject Ho or Fail to reject Ho), along With an explanation. d) What can we conclude about the researcher's claim? Explain your answer. 2. Carleton Chemical claims that they can produce more than SOO tons of benzene on average per week A random sample of 36 of production yield a mean and SD as follows: = 823 ands = 79_8_ At the a = significance level, does mnpledata provide significant evidence to support the claim made by dae Carleton Company? a) Set up hypotheses Ho and Ha to test the company's claim. Go to STAT choose T-test select the STATS option and enter the given sample information. b) State the test statistic and p-value given by the calculator c) Compare the p-value to u = _ 05 _ State the appropnate decmon (either Reject Ho or Fail to reject Ho), along With an explanation. d) Interpret this decision to HT1te a conclusion for the test.