Final Answer:
The critical values X^2_R and X^2_L for c = 0.95 and n = 12 are integral to statistical analysis, guiding the construction of a confidence interval for the population standard deviation.
Step-by-step explanation:
Choose a confidence level c = 0.95 for constructing the confidence interval and consider the sample size n = 12.
Determine the critical chi-square values for a two-tailed test with α = 1 - c = 0.05. Refer to chi-square distribution tables or use statistical software.
Apply the formula X^2_R = (n-1)s^2 / χ^2_(α/2) to calculate the right critical point.
Similarly, use the formula X^2_L = (n-1)s^2 / χ^2_(1 - α/2) to compute the left critical point.
The resulting X^2_R and X^2_L values are crucial for constructing a confidence interval for the population standard deviation based on the given sample data.
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Complete Question
Find The Critical Values, X^2 R And X^2L, For C = 0.95 And N = 12 And Construct And Standard Deviation Confidence Interval.
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