2. A swimming school claimed that the average seven-year-old would be able to swim across an Olympic-sized pool in less than 2 minutes ( 20 seconds after taking lessons from their instructors. To test this claim, a consumer psychologist arranged foreight randomly selected seven-year-old children to take lessons at the school and recorded how long it took each child to swim across a pool at the end of the lessons. The times (in seconds) were 60, 120, 110, 80, 70, 90, 100, and 130. What conclusion would the psychologist draw following a t test for a single sample using 120 seconds as the "known" population mean and the(.05) significance level? Use the five steps of hypothesis testing and calculate effect size. Note that I gave you scores instead of Sum of Squares (SS). You will have to calculate this yourself. Step 1: Null and Research Hypothesis RESEARCH: Kids who swim across a pool at the end of the lessons NULL: Kids who do not swimm across a pool at the end of the lemons. Step 2: Create your comparison distribution 60, 70, 80, (90, 100), 110, 120, 130 Participant X X-M (X-M) 1 60 60-95=-35 1-351 = 1024 M= 1905 95 2 120 120-95: 25 (2515 = 625 N= 95-1 3 110 170-95= 15 ( 15 ) " = 225 4 80 80-95-19 41513 225 5 70 70- 95:-25 ( -25)7 2 625 S2s ss - 5198 - 40. 40 6 90 70- 95 : -5 ( - 5)" = 25 7 100 100-95 =5 (512 = 25 8 130 130-95 - 35 ( 35 )5 = 1024 S'M = 5 2 - 40.40 3 0. 43 SUM 760 0 3498 921 SM 10. 43 50-66 Step 3: Determine your Critical Values twotail 7+ 2365 NY - 2365 boil to 2, 368 Rijero de = 8 Reject Null if Tocome in Step 4: Calculate your t Score s.6 6.4 4-66 8.32 Sneater the on less the * M- M 95- 120 SM 0-66 Step 5: Decision Step 6: Calculate Effect Size