Chapter 10 - Review - Review Exercises - Page 523: 10b

We can not conclude that $\sigma \gt 15.7$.

Here we have: $H_{o}$:σ = 15.7, $H_{1}: σ > 15.7$, n = 25, s = 16.5, df = n-1 = 24 α = 0.1, $χ2_{α} = 33.196$ We have: $26.508 \lt 33.196$ Hence, we do not reject the null hypothesis.