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T-test Steps

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Is it harder to get into graduate programs in psychology or history? We randomly selected five institutions from among all U.S. institutions with graduate programs. The first number for each is the minimum GPA for applicants to the psychology doctoral program, and the second is for applicants to the history doctoral program. These GPAs were posted on the Web site of the well-known college guide company Peterson's.

Wayne State University: 3.0, 2.75
University of Iowa: 3.0, 3.0
University of Nevada-Reno: 3.0, 2.75
George Washington University: 3.0, 3.0
University of Wyoming: 3.0, 3.0

a. The participants are not people; explain why it is appropriate to use a paired-samples t test for this situation.
b. Conduct all six steps of a paired-samples t-test. Be sure to label all six steps.
c. Report the statistics as you would in a journal article.

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T-test steps for graduate programs are examined.

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a. The participants are not people; explain why it is appropriate to use a paired-samples t test for this situation.

The two GPAs are related by the same university. So, it is appropriate to use a paired-samples t test for this situation.

b. Conduct all six steps of a paired-samples t-test. Be sure to ...

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
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