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21-25. A swimming school claimed that the average seven-year-old would be able to swim across an...

  1. 21-25. 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 after taking lessons from their instructors. To test this claim, a consumer psychologist arranged for eight 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 average time (in seconds) was a 95 with a sum of squares of 4200. What conclusion would the psychologist draw following a two-tailed t test for a single sample using 120 seconds as the "known" population mean and the .05 significance level. (10 points total)

21. What is the degrees of freedom?

22. What is the estimated standard deviation?

23. What is the cutoff score (critical values) on the t distribution?

24. What is the t statistic?

25. Is the test significant and summarize the results of this study (No APA style needed)?

Math   Statistics-And-Probability   
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