Final answer:
The student is requesting critical values for x² in a left-tailed F-distribution with α = .05 and 27 degrees of freedom.
Step-by-step explanation:
The student is asking for the critical values (x² left and x² right) for a left-tailed F-distribution with α = .05 and degrees of freedom (df) n = 27 for both the numerator and denominator, which corresponds to the F-distribution with n₁−1 = 29 and n₂−1 = 29. To find the critical value for x² left, one would typically look up the value in an F-distribution table or use a statistical software with α = .05 and the proper degrees of freedom. However, the information provided does not contain the direct answer, and so we cannot accurately determine the critical values without additional context or access to an F-distribution table or software. The graph mentioned is for illustration purposes in general scenarios where the distribution is left-tailed, but the exact values for our situation are not provided.
Using the information given, we can see that the p-value is 0.000006. The significance level α is 0.05. Since the p-value is less than α, we can reject the null hypothesis.
Hence, the values for x² left and x² right will depend on the specific values given in the problem, which are not provided in the question. Please provide the necessary data for a more accurate answer.