Module 11 HW (20 Points) 2 Pages ROUND ALL ANSWERS TO AT LEAST 4 (FOUR) QUALITY DECIMAL POINTS. THIS INCLUDES PERCENTAGES. IF IT'S UNCLEAR TO YOU WHAT THIS MEANS, EMAIL ME AND I'LL EXPLAIN IT TO YOU. HW Problem 27. (5 pts) A random sample of size 39 is taken from a population of 200. The sample mean is 66 and the population standard deviation is 11. Construct a 96% confidence interval to estimate the population mean. Round to four quality decimal places P(62.7462 ≤ μ ≤ 69.2538) = 96% [Z = 2.0537] Interpretation: We're 96% confident that the population mean is between 62.7462 and 69.2538. HW Problem 28. (5 pts) The Ohio Employment Bureau is interested in estimating the average age of registered nurses RNs) in Ohio. 50 Ohio RNs are randomly sampled which results in a sample mean age of 41. The standard deviation for the age of Ohio RNs is assumed to be 7.5 years. Use this information to construct a 90% confidence interval for the mean age of Ohio RNs. Round to four quality decimal places. P(39.2553 ≤ μ ≤ 42.7447) = 90% [Z = 1.6449] Interpretation: We're 90% confident that the mean age of Ohio RNs is between 39.2553 and 42.7447 years of age.