Question: Please answer this question and be organized -This is a step by step guide for the problem also Problem 1: [20 points = 10 +

Please answer this question and be organized

-This is a step by step guide for the problem also

Please answer this question and be organized -This is a step bystep guide for the problem also Problem 1: [20 points = 10

Problem 1: [20 points = 10 + 10] Read Section 11.3 from the textbook for this problem. Educators conducted a study of variability for commute times recorded by students. Individual amounts (measured in minutes) are assumed to be normally distributed with unknown parameters (M, o). A sample of n = 25 records was processed and summaries are shown as: Sample Mean = X = 28.5 and Sample SD = s = 7.5 Your objective is to estimate the population variance (o2) with confidence C = 0.95 1. Show critical values you are using. RCV = LCV = 2. Derive confidence limits rounded to the second decimal place. UCL = LCL = Solution You need to use x2-table with d = n - 1 degrees of freedom. The common numerator for this problem and its continuation is (n - 1) . $2 For a given confidence level C, variance estimate requires two critical values. Denote a = 1 -C, then find 0.5 . a and critical values are defined in such a way that P [x2 > RCV] = P [x?

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