Description
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 had a mean of = 71.4 years and a standard deviation, s = 20.65 yrs. Assuming that life span in Honolulu is approximately normally distributed , does this information indicate that the population life span for Honolulu residents is less than 77 years? Use a 5% level of significance.
Explanation & Answer
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H0 = m < 77
Ha = m => 77
x = 71.4
S = 20.65
t = 71.4 - 77 / (20.65/sqrt(20)) = -1.21
Reject Ha. Median lifespan is <77.
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