At a certain university, the average attendance at basketball games has been 2925. This year the attendance for the first 11 games has been 2715 with a standard deviation of 535. The athletic director claims that the attendance is the same as last year. If = .05, what are the critical values for this two-tailed t test?
A) 1.812
B) 2.228
C) 1.796
D) 2.201

Question

At a certain university, the average attendance at basketball games has been 2925. This year the attendance for the first 11 games has been 2715 with a standard deviation of 535. The athletic director claims that the attendance is the same as last year. If  = .05, what are the critical values for this two-tailed t test?
A) 1.812 
B) 2.228 
C) 1.796 
D) 2.201

Quizplus · Accepted Answer

Since the test is two-tailed and the level of significance is 0.05, we need to find the critical t value for 0.025 level of significance (0.05/2 = 0.025) with 10 degrees of freedom (n-1=11-1=10). Using a t-distribution table, the critical t value for this test is approximately 2.228. Therefore, the answer is (B) 2.228.

At a Certain University, the Average Attendance at Basketball Games