(Solved): The Thematic Apperception Test (TAT) presents participants with ambiguous pictures and asks them t ...

The Thematic Apperception Test (TAT) presents participants with ambiguous pictures and asks them to tell a story about them. These stories can be scored in any number of ways. Based on Werner, Stabenau, and Pollin (1970), a researcher asked 17 mothers with children without a schizophrenic diagnosis and 20 mothers of children with schizophrenia to complete the TAT and then scored for the number of stories (out of 10) that exhibited a positive parent-child relationship. (A total of 21 were recruited for each group, but some were dropped from the study based on other inclusion/exclusion criteria.) The resulting (simulated) data follow: Non-schizophrenic Schizophrenic Compute the \( 95 \% \) confidence interval for the population mean difference, \( \mu_{\text {non }}-\mu_{\mathrm{sch}} \), expressed as the amount the non-schizophrenic group is larger than the schizophrenic group. \[ <\mu_{\mathrm{non}}-\mu_{\mathrm{sch}}< \] Now compute the \( 98 \% \) confidence interval: \[ <\mu_{\mathrm{non}}-\mu_{\mathrm{sch}}< \]