Question

At a certain university, the average attendance at basketball games has been 3125. Due to the dismal showing of the team this year, the attendance for the first 9 games has averaged only 2915 with a standard deviation of 585. The athletic director claims that the attendance is the same as last year. What is the test statistic needed to evaluate the claim

Answer 1

The test statistic needed to evaluate the claim is t = -1.08.

Explanation:

The test statistic is:

`t = (X - \mu)/((s)/(√(n)))`

In which X is the sample mean,
`\mu` is the expected value of the mean, s is the standard deviation of the sample and n is the size of the sample.

At a certain university, the average attendance at basketball games has been 3125. The athletic director claims that the attendance is the same as last year.

This means that
`\mu = 3125`

Due to the dismal showing of the team this year, the attendance for the first 9 games has averaged only 2915 with a standard deviation of 585.

This means that
`n = 9, X = 2915, s = 585`

What is the test statistic needed to evaluate the claim?

`t = (X - \mu)/((s)/(√(n)))`

`t = (2915 - 3125)/((585)/(√(9)))`

`t = -1.08`

The test statistic needed to evaluate the claim is t = -1.08.