In: Statistics and Probability
1. Dr. Woz and Dr. Yaz want to test whether violent video games have an effect on aggressive thinking. In order to test aggressive thinking, Woz and Yaz are going to use a test developed at GTA University; scores greater than 70 on the test indicate agreement with statements that endorse aggressive behavior. They select a sample of n = 100 teenagers from a local high school for the study. Each of the students spends an hour playing a first-person shooter video game and then takes the test. The mean and standard deviation for the sample is M = 73 and s = 20. Woz and Yaz would like to know if the sample mean of 73 is statistically significantly different from 70 using a two-tailed test with ? < .05 and critical values of t of ±1.98.
a. What is the null hypothesis for this test? H0 =
b. What is the estimated standard error for this test?
c. Calculate the value of t (round to two decimal places, if rounding is necessary).
d. Do you accept or reject the null hypothesis?
2. A paired samples t-test produces the following results: t(99) = 2.15, p < .05. The study included 1 blank participants and the decision was to 2 blank the null hypothesis. (Note: Your first answer will be a number and your second will be a word.)
3. The estimated standard error:
a. |
provides an estimated measure of how much difference you can expect to see between an individual's score and the sample mean due to sampling error. |
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b. |
gives us no useful information. |
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c. |
is equal to the population mean. |
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d. |
provides an estimated measure of how much difference you can expect to see between a sample mean and the mean of the population due to sampling error |