USA Today reported that the state with the longest mean life span is Hawaii, whe

Question

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 for Honolulu residents in the Honolulu Advertizer resulted in a mean life span of 71.4 years with standard deviation 20.65 years. Assuming that life span is approximately normally distributed, does this information indicate that the population mean life span for Honolulu residents is less than 77 years? Use = 0.05. (a) What is the parameter of interest? (b) State H0 and H1. (c) Compute the value t of the test statistic. (d) Find the P-value. (e) What decision do you reach for this problem?

Explanation / Answer

parameter of interest--population mean life span for Honolulu residents

b) null hypothesis: mean=77

alternate hypothesis: mean<77

c) for std error =std deviation/(n)1/2 =4.6175

hence test stat t=(X-mean)/std error =(71.4-77)/4.6175 =1.2128

d) p value =0.12

e) as p value is greater then 0.05 level we can not reject null hypothesis that population mean life span is 77 years.

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