Solve the following. Please note, the answers that are attached are the only acceptable answers. I have already double-checked the questions, and clarified (already tried answering) with my professor. If the answers that I have chosen are incorrect, please provide the formula/answer that is acceptable (based on the choices available.)

A human resources manager wants to determine a confidence interval estimate for the mean test score for the next office-skills test to be given to a group of job applicants. In the past, the test scores have been normally distributed with a mean of 74.2 and a standard deviation of 30.9. Determine a 95% confidence interval estimate if there are 30 applicants in the group.

A. 64.92 to 83.48

B. 68.72 to 79.68

C. 13.64 to 134.76

D. 63.14 to 85.26

Not sure about this one.

Determine which of the following four population size and sample size combinations would not require the use of the finite population correction factor in calculating the standard error.

A. N = 150; n = 25

B. N = 2500; n = 75

C. N = 1500; n = 300

D. N = 15,000; n = 1,000

Not sure about this one.

If the level of significance () is 0.005 in a two-tail test, how large is the nonrejection region under the curve of the t distribution?

A. 0.050

B. 0.995 (My educated guess. One that is probably wrong)

C. 0.9975

D. 0.005

What type of test will be performed? H is p = 0.45 and H1 is p0.45

A. Two-tail testing of a mean (One of the things that my book seems clear on. Therefore, this is the answer I have chosen.)

B. One-tail testing of a proportion

C. Two-tail testing of a proportion

D. One-tail testing of a mean

If a teacher wants to test her belief that more than five students in college classes typically receive A as a grade, she'll perform _______-tail testing of a mean.

A. right

B. left

C. one (This would be the answer. Based on the fact that the test is one-tailed, thep-value is equal to thetailarea beyondzin the same direction as the alternative hypothesis). If I am incorrect, please explain why. :)

D. two