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2. Confidence Intervals Questions 1, 2, and 3 below are together. 1. Assume random samples from normal populations with known variance (or standard deviation)

 

2. Confidence Intervals Questions 1, 2, and 3 below are together. 1. Assume random samples from normal populations with known variance (or standard deviation) were drawn. Find confidence intervals for the true population mean given the sample mean, population variance/standard deviation, and the confidence/alpha level. (12 points) 2 a. N=28, M = 14, o = 6, confidence level = 95% b. N=65, M= 190, o = 12, a = 0.01 2. Now, suppose the population variance is not known, and the variance/standard deviation values given in the previous question are actually sample statistics. Find the confidence intervals using the t-distribution. (12 points) 3. How do the results from question 2 compare to the results from question 1? (Respond in the form of a sentence.) (2 points)

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