You may need to use the appropriate appendix table or technology to answer this question.The following results come from two independent random samples taken of two populations.Sample 1Sample 2n1 = 60n2 = 25x1 = 13.6x2 = 11.6σ1 = 2.5σ2 = 3(a)What is the point estimate of the difference between the two population means? (Use x1 − x2.) (b)Provide a 90% confidence interval for the difference between the two population means. (Use x1 − x2. Round your answers to two decimal places.) to (c)Provide a 95% confidence interval for the difference between the two population means. (Use x1 − x2. Round your answers to two decimal places.) to

The objective of the question is to calculate the point estimate of the difference between the two population means and to provide a 90% and 95% confidence interval for the difference between the two population means.First, let's calculate the point estimate of the difference between the two population means. The point estimate is simply the difference between the two sample means, which is x1 - x2 = 13.6 - 11.6 = 2.Next, let's calculate the standard error of the difference between the two means. The formula for the standard error is sqrt[(σ1^2/n1) + (σ2^2/n2)] = sqrt[(2.5^2/60) + (3^2/25)] = sqrt[0.104167 + 0.36] = sqrt[0.464167] = 0.6813.Now, let's calculate the 90% confidence interval. The z-score for a 90% confidence interval is 1.645 (you can find this value in a standard z-table). The confidence interval is calculated as (x1 - x2) ± z * standard error = 2 ± 1.645 * 0.6813 = 2 ± 1.12. So, the 90% confidence interval is (0.88, 3.12).Finally, let's calculate the 95% confidence interval. The z-score for a 95% confidence interval is 1.96. The confidence interval is calculated as (x1 - x2) ± z * standard error = 2 ± 1.96 * 0.6813 = 2 ± 1.34. So, the 95% confidence interval is (0.66, 3.34).The point estimate of the difference between the two population means is 2. The 90% confidence interval for the difference between the two population means is (0.88, 3.12). The 95% confidence interval for the difference between the two population means is (0.66, 3.34).