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t-Tests Show your work and calculations and give details for numbers 2 and 3, and give reasons for why it would be a one-tailed, or

t-Tests

Show your work and calculations and give details for numbers 2 and 3, and give reasons for why it would be a one-tailed, or two-tailed test.

1. For each study indicate if the study is repeated measures or not.

Study Repeated Measures? Yes or No?
a. A researcher is comparing the amount of time spent playing video games each week for college males versus college females.
b. A researcher is evaluating the effects of fatigue by testing people in the morning when they are well rested and testing again at midnight when they have been awake for at least 14 hours.
c. A researcher is comparing two new designs for cell phones by having a group of high school students send a scripted text message on each model and measuring the difference in speed for each student.
d. A study that splits half the class and has the first half study and the second half of the class not study for an exam to compare exam scores.

2. A sample of n = 4 individuals is selected from a population with a mean of =40. A treatment is administered to the individuals in the sample and, after treatment, the sample has a mean of M = 44 and a variance of s2 = 16.

Answer Table
Which kind of t-Test should be used?
Does this require a one-tailed test or a two-tailed test?
What is the sample size?
What are the degrees of freedom?
What is the critical value if significance is set at p <.05?
What was the obtained t value? (i.e. what was the result of the t-test after you calculated using the appropriate formula?)
Was the result significant?

3. An educational psychologist would like to determine whether access to computers has an effect on grades for high school students. One group of n = 16 students has home room each day in a computer classroom in which each student has a computer. A comparison group of n = 16 students has home room in a traditional classroom. At the end of the school year, the average grade is recorded for each student. The data are as follows:

Computer Traditional
M = 86 M = 82.5
SS = 1005 SS = 1155

Answer Table
Which kind of t-Test should be used?
Does this require a one-tailed test or a two-tailed test?
What is the sample size?
What are the degrees of freedom?
What is the critical value if significance is set at p <.05?
What was the obtained t value? (i.e. what was the result of the t-test after you calculated using the appropriate formula?)
Was the result significant?

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