Complete the following hypothesis test where σ is unknown

Statistics
Tutor: None Selected Time limit: 1 Day

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.

Oct 18th, 2015

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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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Oct 18th, 2015

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