# Statistics Homework Help?

1. Find the critical value(s) of t that would be used for the following independent measures t-test(assume that the null hypothesis is population mean 1 = population mean 2 with an alpha level

of 0.05. What would the critical value be for n1=21, n2=21?

2. For the previous question in which you had an independent samples t-test with n1=21, n2=21,

what would be your decision regarding the null hypothesis if your obtained t value (tobt) was 1.97?

3. Find the critical value(s) of t that would be used for the following independent measures t-test

(assume that the null hypothesis is population mean 1 = population mean 2 with an alpha level

of 0.05. What would the critical value be for n1=8, n2=12?

4. For the previous question in which you had an independent samples t-test with n1=8, n2=12,

what would be your decision regarding the null hypothesis if your obtained t value (tobt) was 1.69?

5. A researcher is interested in understanding the effect of marijuana on memory

enhancement. She would like to have 20 memory scores in each of the two conditions (small

dose and large dose). If she was using a dependent samples design, how many total subjects

would she need?

6. A researcher is interested in understanding the effect of marijuana on memory

enhancement. She would like to have 20 memory scores in each of the two conditions (small

dose and large dose). If she was using a matched subjects design, how many total subjects

would she need?

7. A researcher is interested in understanding the effect of marijuana on memory

enhancement. She would like to have 20 memory scores in each of the two conditions (small

dose and large dose). If she was using an independent samples design, how many total subjects

would she need?

8. A professor is interested in the effect of frequent testing on retention of course material. In one

of the professor’s sections, students are given quizzes each week. In another section, students

take only two tests over the course of the semester. End-of-semester averages are compared

between the groups and the value for the pooled variance was 7.5. Do the data indicate that

frequent testing improves performance? Assume alpha=.05 and show all 5 steps of your

hypothesis test. Then, determine the effect size using Cohen’s d. Frequent testing group: M =

72, s = 2.7, n = 15 Two exams group: M = 68, s = 2.8, n = 15

9. Relaxation training may help treat anxiety. In an experiment, seven participants are

administered an anxiety survey before and after relaxation training. Anxiety

scores dropped 2.29 points after the training (SD = 2.93). The value for tobt was 2.07. Do these

data indicate a significant change in anxiety? Assume alpha = .05 and show all 5 steps of your

hypothesis test. Then, determine effect size using r2. NOTE: Not everything will need to be

calculated based on the information provided here.

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