Entertainment Software Association would like to test if the standard deviation for the age of "gamers" (those that routinely play video games)is equal to 6.0 years. The standard deviation for the age from a random sample of 24 gamers is 3.8 years. The test statistic for this hypothesis test would be ______.
A)45.61
B)9.23
C)24.33
D)31.82

Question

Quizplus · Accepted Answer

The test statistic for testing if the standard deviation of a population is equal to a specific value (σ0) can be calculated using the formula: $\chi^2 = \frac{(n-1)s^2}{\sigma_0^2}$, where $n$ is the sample size, $s$ is the sample standard deviation, and $\sigma_0$ is the hypothesized population standard deviation. Here, $n=24$, $s=3.8$, and $\sigma_0=6.0$. Plugging these values into the formula gives $\chi^2 = \frac{(24-1)(3.8)^2}{(6.0)^2} = 9.23$.

Entertainment Software Association Would Like to Test If the Standard