A college is expecting an entering freshman class of 700 students. The mean score on a test of writing skills for 100 freshmen attending one of several college orientation sessions is 86. The M for the writing test is 1.5 points.

a. What point estimate should the admissions officer make for the writing skills of the entire incoming freshman class?

b. In constructing an interval estimate for the writing skills of the entire incoming freshman class, what score will fall in the center of the interval?

c. The admissions officer can be 95% confident that the mean writing skills score for the entire incoming class falls between which two values?

d. If the admissions officer were willing to be only 90% confident, would the confidence interval be larger or smaller? Why?

e. If only 60 of the 100 students who attended the orientation session took the writing skills test, would the confidence interval be larger or smaller? Why?

Steinberg, Wendy J.. Statistics Alive! (p. 219). SAGE Publications. Kindle Edition.