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One newspaper reported that the population mean life span is Nevada is 77 years. A random sample of 20 obituary notices in Nevada Advertiser gave the following information about life span in years of Nevada residents: 68 77 85 97 71 56 86 47 27 66 69 72 81 93 19 75 78 94 84 83 a. Verify that the sample mean x = 71.4 years, and sample standard deviation s ~ 20.65 years. b. Assuming that the life span in Nevada is normally distributed, does this sample evidence indicate that the population mean life for Nevada residents is different than 77 years ? Use the level of significance value as 0.05. I. [ 1 point] Write down the hypotheses and the level of significance. II. [2+1+1=4 points] Find the test statistic. Sketch the P value area. Find the P value. Find the test statistic. Sketch the P value area. Find the P value. III. [1 point] Compare the level of significance a with the P value. What is your conclusion? IV. [1 point] Interpret your result