Two random samples were selected independently from populations having normal distributions The following statistics were extracted from the samples a If 1 3 and 2 2 and the sample sizes are n1 50 and n2 50, construct a 95 confidence interval for the difference between the two population means b If 1 2, 1 3, and 2 2, and the sample sizes are n1 10 and n2 10, construct a 95 confidence interval for the difference between the two population means c If 1 2, 1 3, and 2 2, and the sample sizes are n1 10 and n2 10, construct a 95 confidence interval for the difference between the two population means

Question: Two random samples were selected independently from populations having normal distributions. The following statistics were extracted from the samples: a. If 1 = 3 and

Two random samples were selected independently from populations having normal distributions. The following statistics were extracted from the samples:

a. If σ1 = 3 and σ2 = 2 and the sample sizes are n1 = 50 and n2 = 50, construct a 95% confidence interval for the difference between the two population means.
b. If σ1 = σ2, σ1 = 3, and σ2 = 2, and the sample sizes are n1 = 10 and n2 = 10, construct a 95% confidence interval for the difference between the two population means.
c. If σ1 ≠ σ2, σ1 = 3, and σ2 = 2, and the sample sizes are n1 = 10 and n2 = 10, construct a 95% confidence interval for the difference between the two population means.

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