Question

Q13

A high school football coach is trying to determine whether or not his team can bench press more than 250 pounds, on average. The team is large and so he selects 21 players and records their bench press weight. He decides that he will run a t test, and calculates a test value of t = 1.828. At the .05 level of significance, can he conclude that his team can bench press more than 250 pounds?

Group of answer choices

True

False

Why did you answer the previous question the way that you did?

Answer 1

We test Ho : = 250 Vs H1 : > 250

Given test statistic t = 1.828

Level of significance a = 0.05

Degrees of freedom = n -1 = 20

tCritical for a = 0.05 , d.f = 20

tCritical = t​​​​​​1-a , n-1 = t​​​​​​0.95, 20

tCritical = 1.725

Decision rule : if t > 1.725 we Reject the null hypothesis otherwise Fail to reject

Our t = 1.828 > 1.725

Conclusion : Reject null hypothesis , there is sufficient evidence to conclude that his team can bench press more than 250 pounds

Answer is true