Consider the following scenario... A college football coach records the mean weight that his players can bench press as275 pounds, with astandard deviation of 55 pounds. Some of his players thought that the mean weight wasmore thanthat amount.They asked14of their teammates for their estimated maximum lift on the bench press exercise. The responses (in pounds) were 205, 215, 225, 241, 252, 265, 275, 313, 316, 338, 341, 345, 368, and 385.How likely is it that the bench press mean ismore than 275 pounds?

Now imagine the same scenario, but now the coach does NOT know the population standard deviation (55 pounds).(To help you out, the standard deviation of thesampleis 59.47).Use a t test answer the question of howlikely it is that the bench press mean ismore than 275 pounds.

(2a) Usingt=what is the t value? __________________

(2b) What is the probability of getting that t value or something higher? You can usethis online calculator.p = _______________.

(2c) Using the Cohen's d for unknown population standard deviations, figure out the difference between the population mean and the sample mean.d = ___________.

(2d) How would you describe the effect size? ________________