**10. Incorrect. The answer is true, not false**

We should decide between the hypotheses:

H_{0}:
σ = 0.25

H_{1}:
σ >0.25.

The value of χ^{2}
for the sample is χ^{2}=ns^{2}/σ^{ 2}
=30*0.32^{2}/0.25^{2}=49.15.

Using a one-tailed test we would
reject H_{0} at a 0.05 level of significance if the sample value of
χ^{2} were greater than χ^{2}_{0.95}, which
equals 42.56 for n=30-1=29.
Thus we reject H_{0} at a 5% level of significance.