The following data, recorded in days, represents the length of time to recovery for patients randomly treated with one of two medications to clear up severe bladder infections. Assume that the recovery times are normally distributed. Medication 1 = n = 13, x̄ = 17, s2 = 1.5, Medication 2 = n = 10, x̄ = 19, s2 = 1.8. (a) Is there a difference in the mean recovery times for the two medications? Test at the 5% level of significance, assuming equal variances. (b) Is the assumption of equal variances made in (a) valid? Test at the 5% level of significance.
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