Suppose again, as in Exercise 9, that a random sample of 10 observations is taken from the normal distribution with unknown mean and unknown

Suppose again, as in Exercise 9, that a random sample of 10 observations is taken from the normal distribution with unknown mean μ and unknown variance σ2, but suppose now that the following hypotheses are to be tested at the level of significance 0.05:
H0: σ2 = 4,
H1: σ2 = 4.
Suppose that the null hypothesis H0 is to be rejected if either S2n ≤ c1 or S2n ≥ c2, where the constants c1 and c2 are to be chosen so that, when the hypothesis H0 is true,
Pr(S2n ≤ c1) = Pr(S2n ≥ c2) = 0.025.
Determine the values of c1 and c2.