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According to a Health of Boston report, female residents in Boston have a higher average life...

According to a Health of Boston report, female residents in Boston have a higher average life expectancy as compared to male residents (The Boston Globe, August 16, 2010). You collect the following sample data to verify the results of the report. You also use the historical (population) standard deviation of 8.2 years for females and 8.6 years for males. (You may find it useful to reference the appropriate table: z table or t table)  

Female Male
−x1 = 81.1 −x2 = 74.8
n1 = 32 n2 = 32

Assume that μ1 is the population mean of life expectancy for females and μ2is the population mean of life expectancy for males.

a. Set up the hypotheses to test whether the average life expectancy of female Bostonians is higher than that of male Bostonians.



b. Calculate the value of the test statistic and the p-value. (Round "Test statistic" value to 2 decimal places and "p-value" to 4 decimal places.)



c. At the 10% significance level, what is the conclusion?

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