Given two independent random samples with the following results:n1 = 16 n2 = 11x⎯⎯1 = 120 x⎯⎯2 = 90s1 = 32 s2 = 23Use this data to find the 95% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed. a. Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places. b. Find the standard error of the sampling distribution to be used in constructing the confidence interval. Round your answer to the nearest whole number. c. Construct the 95% confidence interval. Round your answers to the nearest whole number. Both lower and upper endpoint.