Answer
No, see explanations.
Work Step by Step
From the data set, we can get $n=10, s^2=43.0$
a. State the hypotheses and identify the claim.
$H_o: \sigma^2=40$
$H_a: \sigma^2\ne 40$ (claim, two tail test)
b. Find the critical value(s).
$\alpha/2=0.025, df=9, \chi^2_{left}=2.700, \chi^2_{right}=19.023$
c. Compute the test value.
$\chi^2=\frac{9\times43}{40}=9.68$
d. Make the decision.
The above value fall in the non-rejection region and we fail to reject the null hypothesis.
e. Summarize the results.
At $\alpha=$0.05, there is not sufficient evidence to conclude that the variance in games played
differs from 40.