Consider the following data drawn independently from normally distributed populations: UseTable 2.

= 10.5= 16.8s₁²= 7.9s₂²= 9.3n₁= 15n₂= 20

a.Construct the 95% confidence interval for the difference between the population means. Assume the population variances are unknown but equal.(Round all intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.)

Confidence interval isto.

b.Specify the competing hypotheses in order to determine whether or not the population means differ.

H₀:₁₂= 0;H_A:₁₂ 0H₀:₁₂ 0;H_A:₁₂< 0H₀:₁₂ 0;H_A:₁₂> 0

c.Using the confidence interval from part a, can you reject the null hypothesis?Yes, since the confidence interval includes the hypothesized value of 0.No, since the confidence interval includes the hypothesized value of 0.Yes, since the confidence interval does not include the hypothesized value of 0.No, since the confidence interval does not include the hypothesized value of 0.