Two Means - Unknown, Unequal Variance: Videos & Practice Problems

A psychologist is investigating whether a new relaxation technique reduces anxiety scores more effectively than the standard method. The summary statistics for each group are shown below:

Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Use degrees of freedom equal to the smaller of $n_1-1$ and $n_2-1$. Construct a $95\%$ confidence interval for the difference in mean anxiety scores, where the difference is defined as the mean for the Standard Method group minus the mean for the New Technique group.