21. The following information was obtained from two independent samples selected from two normally distributed populations with unknown standard deviations. 9 12 Sample 1 13 11 Sample 2 16 14 11 19 14 17 13 16 17 18 8 10 5 10 12 13 9 Let µ1 be the mean of population 1 and µ2 be the mean of population 2; ơ1 be the standard deviation of population 1 and o2 be the standard deviation of population 2. (a) What are the point estimates for u1 – µ2 and 02 (b) Construct a 99% confidence interval for 41 H2 based on (b) above if i. ơ1 = 02 ji. σ1 σ2 (c) Construct a 95% confidence interval for 02

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