FOR THIS QUESTION YOU MUST DO THE WORK BY HAND DO NOT USE TH

(FOR THIS QUESTION, YOU MUST DO THE WORK BY HAND. DO NOT USE THE ONLINE P VALUE CALCULATOR) A college football coach thought his players could bench press an average of 270lbs. One of his players thought the average was more than that amount. He asked 27 of his teammates for their estimated maximum lift on the bench press. The actual weights were: 200, 215, 241, 345, 313, 368, 316, 385, 338, 252, 205, 368, 265, 215, 316, 275, 241, 205, 313, 255, 210, 316, 265, 315, 338, 316, 341

What is the P-value of the test? (carry your answer to 4 decimal places)

Solution

Set Up Hypothesis
Null, H0: U=270
Alternate, his players thought the average was more than that amountH1: U>270
Test Statistic
Population Mean(U)=270
Sample X(Mean)=286.3704
Standard Deviation(S.D)=57.0439
Number (n)=27
we use Test Statistic (t) = x-U/(s.d/Sqrt(n))
to =286.3704-270/(57.0439/Sqrt(26))
to =1.491
P-Value :Right Tail - Ha : ( P > 1.4912 ) = 0.07397