A college football coach was interested in whether the college’sstrength development class increased his

players’ maximum lift (in pounds) on the bench pressexercise.  He asked four of his players toparticipate

in the study.  The amount of weight they could eachlift was recorded before they took the strength

development class.  After completing the class, theamount of weight they could each lift was again

measured.  The data are as follows.  

Weight (in pounds)	Player 1	Player 2	Player 3	Player 4
Amount of weight lifted prior to class	205	241	338	368
Amount of weight lifted after the class	295	252	330	360

The coach wants to know if the strength development class makeshis players stronger, on average.  Use

an  significance level to test the claim that the meanamount of weight lifted increases after taking

the strength development class.  (Assume that thepaired sample data are simple random samples and that

the differences have a distribution that is approximatelynormal.)

a)  Find the values of  and .

b)  State the hypotheses.   

                            

c)  Calculate the test statistic and specify thecritical value.

d)  Find the P-value.

e)  State the initial conclusion regarding the nullhypothesis .

f)  State the final conclusion in your own words thataddresses the original claim.