Solve the following:

I. 1) Given the information: the sampled population is normally distributed, i = 36.5, o = 3 and n=20. a) What is the 95% condence interval estimate for p ? H b) Are the assumption met? 2) Given: n = 58, i = 75, and o = 10.The sampled population is normally distributed. a) Find the 99% H confidence interval for u. b) Are the H assumption met? 3) A sample of 60 Grade 9 students' ages was obtained to estimate the mean age of all grade 9 students i = 15.3 years and the population variance is 16. a) What is the point H estimate for u? b) Find the 95% H confidence interval for u. c) Find the 99% condence interval for u. Il. 1) Using the t-table, give the confidence coefficients for each of the following: a) n = 12, 95% confidence b) n = 15, 95 % confidence c) n = 21, 99% confidence d) n = 23, 95% confidence e) n = 25, 99% confidence 2) Assuming that the samples come from normal distributions, find the margin of error E given the following: a) n = 10, x = 28, S = 4.0, 90% confidence b) n = 16, X = 50, S = 4.2, 95% confidence c) n = 20, X = 62.8, s = 2.5, 90% confidence d) n = 23, X = 80.6, s = 3.2, 95% confidence e) n = 25, X = 92.8, S = 2.6, 99% confidence 4 3) The mean scores of a random sample of 17 students who took a special test is 83.5. If the standard deviation of the score is 4.1, and the sample comes from an approximately normal population, find the point and the interval estimates of the population mean adopting a confidence level of 95%. 4) The average weight of 25 chocolate bars selected from a normally distributed population is 200g with a standard deviation of 10 g. Find the point and the interval estimates using 95% confidence level