A manufacturer of athletic footwear claims that the mean life of his product will exceed 50 hours. A random sample of 36 pairs of shoes leads to the following results in terms of useful life: =523 hours 5 = 9.6 hours a) Does the sample data present sufficient evidence to conclude that the manufacturer's claim is correct (use a = 0.05)? Use the 5 step hypothesis testing procedure. 1) Formulate the null and alternative hypotheses. 2) Determine the criterion for rejection or non-rejection of the null hypothesis. 3) Calculate the test statistic. 4) Compare the test statistic to the rejection region and make a judgment about the null and alternative hypotheses. 5) Interpret the statistical decision in terms of the problem. b) Compute the observed p-value in the hypothesis test, and interpret this value. What does it mean