V. EVALUATION 888 8 fest Il.Sampling Distribution of the Sample Mean for Known and Unknown Population Variance ( 10 points) ll. Word Problem: Suppose that the weights of adult males have a mean of 60kis and standard deviation of 18kls. Suppose that the distribution of weights is not normal. Find the following: (2pts each) A. Write the given. B. Identify what theorem to use. C. Mean and standard deviation of the SDSM D. Find the probability that a random sample of 15 males from this population will have a mean weight that exceeds 75kls. E. Determine the range of weights where the middle 90% of the average weight of a random sample size 15 will lie. MAT 112 | 789090 V. EVALUATION Test I.Sampling Distribution of the Sample Mean for Known and Unknown Population Variance ( 10 points) Directions: Solve the given problem completely. For each number, satisfy the following: 1. Word Problem: The scores of Grade 11 students in an achievement test in mathematics are normally distributed with a mean of 83 and a standard deviation of 8. Suppose that a random sample of size n = 20 is taken from this group of students. Find the following: (2pts each) A. Write the given. B. Identify what theorem to use. C. Mean and standard deviation of the SDSM D. Probability that the mean in the sample is At least 87 Less than 80 MAT 112 | 77