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Consider two independent random samples of sizes n, = 10 and ne = 13, taken from two normally distributed populations. The sample standard deviations are calculated to be s,= 5.0 and s2 = 9.6, and the sample means are x] = 74.66 and 12 = 77.16 , respectively. a) Calculate a point estimate for the difference in population means, #1 - #2 . Round your response to at least 3 decimal places. Number b) Using the Welch Approximate t procedure and the Welch-Satterthwaite degrees of freedom = 18.833082, what is the appropriate to value for a 99% 2 confidence interval? Round your response to at least 3 decimal places. Number c) Calculate the margin of error for a 99% confidence interval, using the Welch Approximate t procedure. Round your response to at least 3 decimal places. Number