Problem
Suppose that a random sample of 12 adults has a mean score of 69 on a standardized personality test, with a standard deviation of 7. (A higher score indicates a more personable participant.) If we assume that scores on this test are normally distributed, find a 99% confidence interval for the mean score of all takers of this test. Then find the lower limit and upper limit of the 99% confidence interval. Carry your intermediate computations to at least three decimal places.
The response must include a reference list. Using one-inch margins, double-space, Times New Roman 12 pnt font and APA style of writing and citations.