At a certain university, the average attendance at basketball games has been 2825. Due to the dismal showing of the team this year, the attendance for the first 14 games has
Averaged only 2515 with a standard deviation of 485. The athletic director claims that
The attendance is the same as last year. What is the test value needed to evaluate the
Claim?
A) -6.76
B) -8.94
C) -5.66
D) -2.39

Question

Quizplus · Accepted Answer

The test value needed to evaluate the claim can be calculated using the formula for a one-sample t-test: $ t = \frac{\bar{x} - \mu}{(s/\sqrt{n})} $, where $\bar{x}$ is the sample mean, $\mu$ is the population mean, $s$ is the sample standard deviation, and $n$ is the sample size. Plugging in the given values: $ t = \frac{2515 - 2825}{(485/\sqrt{14})} = \frac{-310}{(485/\sqrt{14})} = -2.39 $.

At a Certain University, the Average Attendance at Basketball Games