You collect the following sample data concerning average life expectancies for female and male residents in Boston. You assum population standard deviation of 8.2 years for females and 8.6 years for males. (You may find it useful to reference the approp table: z table or ttable) Female. X₁ = 81.1 n1 = 32 Male X2 = 74.8 n2 = 32 Assume that μ₁ is the population mean of life expectancy for females and 2 is 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 Bostoniar Ο Ho: μι - μ2 = 0; HA: μ1 – μ2 * 0 Ho: M1 M2 ≥ 0; HA: M1 - μ2 < 0 Ο Ho: μι - μ2 = 0; HA: μ1 – μ2 > 0 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.) Test statistic p-value

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