11. (5 points) Suppose that allegation were made that the (unknown) population mean salary of women who work in a particular job is lower than the known population mean salary of $95,000 for men. A random sample of 100 women is taken from this population and the sample mean and standard deviation are found to be x = 91, 500 and s = 5000. (a) (3 points) Compute the standardized statistic for the sample mean, assuming that men and women have the same mean salary. (b) (2 points) Does the sample information for the 100 women support the allegation? Why or why not