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Problem: Life span in Hawaii Travel Magazine reported that among the US states, Hawaii is the one with the longest life span of residents, where the population mean life span is 77 years

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Problem: Life span in Hawaii

Travel Magazine reported that among the US states, Hawaii is the one with the longest life span of residents, where the population mean life span is 77 years. A random sample of 20 obituary notices in the Honolulu Journal 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        88       

Assuming that life span in Honolulu is normally distributed; does this information indicate that the mean life span for all Honolulu residents is less than 77 years? Do you have enough evidence to say that Travel magazine’s report is not accurate? Use a 5% level of significance.

1. What type of hypothesis test is needed? What distribution should be used? Why?
2. State the two hypotheses here.
    
3. Find the critical value and the test statistics. State them here.
4. Is this a right, left or two-tailed test?  Sketch a normal curve, mark the critical value and test statistics and shade the rejection region on the curve.
5. Use your calculator to find the P value. State it here.
6. Do we reject or not reject the null hypothesis?  Does this information indicate that the mean life span for all Honolulu residents is less than 77 years? Include the test statistics or P value in your discussion.