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?

(1a) What is the null hypothesis? ______________

(1b) What is the alternate hypothesis? __________________

(1c) Use a one-sample Z test to answer this question.Using the formula:

with = /

What is Z?

(1d) Using anonline calculator, what is the probability of getting Z (or a higher score)? __________

(1e) Using the Cohen's d for known population standard deviations, figure out the difference between the population mean and the sample mean.d = ___________.

(1f) How would you describe the effect size if d around .2 is considered small, if d around .5 is considered medium and if d around .8 (and higher) is considered large? ________________