A consumer researcher was asked to test a claim by a franchise swimming instruction program. Specifically, they claimed that they could teach the average 7year-old to swim across an Olympic-size pool in less than 2 hours (120 minutes is the \"known\" population mean). The researcher arranged for eight randomly selected 7-year-old children to take the 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? By answering the following questions, you carry out the appropriate test. Use 0.01 significance level. (a) Define the parameter of interest and state the null and research hypotheses. (b) What is the comparison distribution based on the above scenario? (c) What are the cut-off values for a test with significance level 0.01? (d) What is the observed t score? [Show workings] (e) Test your hypotheses and state your conclusions. (f) What is the effect size of the study