Determine the critical values for a two-tailed test of a population standard deviation for a sample of size n = 7at the α = 0.1 level of significance.

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For a two-tailed test of a population standard deviation with a sample size of n = 7 and α = 0.1, the degrees of freedom (df) are n - 1 = 6. Using the chi-square distribution table for df = 6 and α/2 = 0.05 (for the upper tail) and 1 - α/2 = 0.95 (for the lower tail), the critical values are approximately 1.635 (lower) and 12.592 (upper).

Determine the Critical Values for a Two-Tailed Test of a Population