A particular psychological test is used to measure academic motivation.The average test score for all female college students nationwide is 115.A large university estimates the mean test score for female students on its campus by testing a random sample of n female students and constructing a confidence interval based on their scores.

Which of the following statements about the confidence interval are true?

1. The resulting interval will contain 115.
2. The 90 percent confidence interval for n = 150 will generally be shorter than the 90 percentconfidence interval for n = 200.
3. For n = 150, the 95 percent confidence interval will be longer than the 90 percent confidenceinterval.

a. 2 and 3

b. 3 only

c. 1 only

d. 2 only