(Round all intermediate calculations to at least 4 decimal places.) 12 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 3 appropriate table: z table or t table) points Female Male x = 81.1 X2 = 74. 8 = 32 n2 = 32 eBook Print Assume that M1 is the population mean of life expectancy for females and /2 is the population mean of life expectancy for males. References a. Set up the hypotheses to test whether the average life expectancy of female Bostonians is higher than that of male Bostonians. OHO: M1 - M2 = 0; HA: M1 - M2 * 0 OHO: M1 - M2 2 0; HA: M1 - M2 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-valuec. At the 10% significance level, what is the conclusion? O Reject Ho; females live longer than males. O Reject Ho; females do not live longer than males. O Do not reject Ho; females live longer than males O Do not reject Ho; females do not live longer than males