In: Statistics and Probability
3. a. A sample of 38 students from a community college reveals the average number of units they are taking is 11.5, with a standard deviation of 1.4. Determine a 98% confidence interval for the true mean. b. Assume now that the same results occurred from a sample of size 9, but it was known that the original population was normal. c. Repeat problem 3a, assuming that the standard deviation was the real population standard deviation.