Longevity: Honolulu 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

(i) Use a calculator with mean and standard deviation keys to verify that x 5 71.4 years and s < 20.65 years.

(ii) Assuming that life span in Honolulu is approximately normally distributed, does this information indicate that the population mean life span for Honolulu residents is less than 77 years?

Use a 5% level of significance.

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