3) Independent random samples were selected from two normally distributed populations with means ₁ and ₂, respectively.

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3 Independent Random Samples Were Selected From Two Normally Distributed Populations With Means And Respectively 1 (94.01 KiB) Viewed 22 times

3) Independent random samples were selected from two normally distributed populations with means ₁ and ₂, respectively. The sample sizes, means, and variances are shown in the following table: Sample 1 n₁ = 12 x₁ = 17.8 s} = 74.2 Sample 2 n₂ = 14 X₂ = 15.3 s3 = 60.5 a. Test Ho: (₁-₂) = 0 against H₂: (₁-₂) > 0. Use α = .05. b. Form a 99% confidence interval for (μ₁ −μ₂). c. How large must n₁ and ₂ be if you wish to estimate (₁₂) to within two units with 99% confidence? Assume that n₁ = M₂.