In: Statistics and Probability
Given the two independent samples t-test assumptions, consider the following table of summary statistics. group sample size sample mean sample standard deviation one 13 50.03 9.24 two 13 45.57 9.11 a. At 5% level of significance, do the data suggest the difference between the polulation means of group one and group two is 5.0? Perform the test under the assumption that the two population variances are equal. b. Provide a 95% confidence interval for the difference between the two population means. Construct the interval under the assumption that the two population variances are equal. c Repeat part a and b under the assumption that the two population variances are not equal. use r code (function)