A Consumer Researcher Was Asked to Test a Claim by a Franchise

A consumer researcher was asked to test a claim by a franchise swimming instruction program. Specifically, they claimed that they could teach the average 7-year-old to swim across an Olympic-size pool in less than 2 hours. The researcher arranged for eight randomly selected 7-year-old children to take instruction at this school and kept a careful record of how long it took each child. The times (in minutes)were 60, 120, 110, 80, 70, 90, 100, and 130. What should the researcher conclude? Carry out a t test for a single sample (120 minutes is the "known" population mean)using the .01 significance level.
a. Use the five steps of hypothesis testing.
b. Explain what you did to a person who is familiar with hypothesis testing with a known population variance and a single sample, including understanding decision errors, effect size and power but knows nothing about t tests of any kind. Be sure to explain how this problem differs from a problem with a known population variance and a single sample.