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Confidence Interval for : 1) The mean score of random samples of 22 student applicants who took the college entrance examination is calculated to be 766.9. The standard deviation of the sample is known to be 27.4. Find the 99% confidence interval for the mean of the entire student applicants. 2) Researchers examined a sample of 50 earthquake depths and found that those 50 depths have mean of 9.808 km and a standard deviation of 5.013 km. Construct a 98% confidence interval estimate of the mean of all such depths