The critical value sits at 1 342 not a round number 1 3 is just under it not over

Let $X_{1}, X_{2}, \dots, X_{15}$ be a random sample from an Exponential distribution with the probability density function f(x∣$\sigma) = (1/\sigma)\exp(-x/\sigma)$ if x>0, 0 elsewhere, where the unknown parameter $\sigma$ is positive. Let ${\bar{X}} = (1/15)\sum_{1}^{15}X_{i}$. Suppose that $\varphi$ denotes the likelihood ratio test for testing $H_{0}: \sigma\le1$ against $H_{1}: \sigma>1$ at level $\alpha=0.1$. It is given that $\chi^{2}_{15},_{0}._{1}=22.307, \chi^{2}_{15},_{0}._{9}=8.547, \chi^{2}_{30},_{0}._{1}=40.256, \chi^{2}_{30},_{0}._{9}=20.599$, where $P(W>\chi^{2}_{n},_{a})=\alpha$ and W~$\chi^{2}_{n}$. Then which of the following statements are true?