Suppose we had the following summary statistics from two different, independent, approximately normally distributed populations, both with variances equal to σ : 1. Population 1: xˉ 1 =128.8,s 1=15.975,n 1 =5 2. Population 2: xˉ2 =165, s 2 =21.863,n 2 =4 We want to find a 97% confidence interval for μ 2 −μ 1. To do this, answer the below questions. a. Can we assume equal variances or not? Yes, we can assume equal variances. No, we cannot assume equal variances. b. The pooled standard deviation is: s p = Round to 3 decimal places. c. The standard error is: SE= Hint Round to 3 decimal places. d. What is the degrees of freedom associated with this problem? (Round down to the nearest whole number.) The critical value from the distribution for a confidence interval of 97% is: t = Use Technology. Round to 3 decimal places. c. The standard error is: SE= Hint Round to 3 decimal places. d. What is the degrees of freedom associated with this problem? (Round down to the nearest whole number.) The critical value from the distribution for a confidence interval of 97% is:
