USA Today reported that the state with the longest mean life span is Hawaii, where the population mean life span is 77 years. A random sample of 20 obituary notices in the Honolulu Advertizer gave the following information about life span (in years) of Honolulu residents: 72 68 81 93 56 19 78 94 83 84 77 69 85 97 75 71 86 47 66 27 This data gives = 71.4 years with = 20.65 years. Assuming that life span in Honolulu is approximately normally distributed, do this information indicate that the population mean life span for Honolulu residents is less than 77 years? Use a 5% level of significance. a) What is the level of significance? State the null and alternative hypotheses. b) What sampling distribution will you use? How many degrees of freedom will we use (if appropriate)? Explain the rationale for your choice of sampling distribution. c) Compute the appropriate sampling distribution of the sample test statistic. d) Find the critical value. e) Based on your answers in parts (a) through (d), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ? e) Interpret your conclusion in the context of the application.