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Solve the given problem. Find the following and show your complete solution. 1. The average test scores of Mr. Buenaventura's classes in Statistics and Probability is normally distributed with a standard deviation of 6. There are 185 scores with a sample mean and 150 were selected at random. Estimate the population mean with: a. 85% confidence b. 90% confidence c. 95% confidence 2. A sample of seven college wrestlers had an average weight of 267 pounds with a sample standard deviation of 10 pounds. Find the 98% confidence interval of the true mean weight of all college wrestlers.For #1 and #2, find the following: A. CRITICAL VALUE B. MARGIN OF ERROR C. LOWER LIMIT D. UPPER LIMIT E. SOLUTION SET F. ILLUSTRATE THE CONFIDENCE INTERVAL