Promotion and Age Listed below are ages of applicants who were unsuccessful in winning promotion and ages of applicants who were successful in winning promotion (based on data from €œDebating the Use of Statistical Evidence in Allegations of Age Discrimination€ by Barry and Boland, American Statistician, Vol. 58, No. 2). Construct 99% confidence interval estimates of the standard deviations of the two populations from which the samples were obtained. Compare the results. What do you conclude?

Assume that each sample is a simple random sample obtained from a population with a normal distribution.

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Ages of Unsuccessful Applicants: 34 37 37 38 41 42 43 44 44 45 45 45 46 48 49 53 53 54 54 55 56 57 60 Ages of Successful Applicants: 33 36 37 38 38 39 42 42 43 43 44 44 44 45 45 45 45 46 46 47 47 48 48 49 49 51 51 52 54