1. You choose an alpha level of .01 and then analyze your data.
a. What is the probability that you will make a Type I error given that the null hypothesis is true?
The probability of type I error is actually alpha given that the null hypothesis is true so it is 0.01.
b. What is the probability that you will make a Type I error given that the null hypothesis is false?
When null hypothesis is false, it is impossible to make a type I error. It means probability that you will make a type I error given that the null hypothesis is false is zero.
2. Below are data showing the results of six subjects on a memory test. The three scores per subject are their scores on three trials (a, b, and c) of a memory task. Are the subjects get- ting better each trial? Test the linear effect of trial for the data.
a
b
c
4
6
7
3
7
8
2
8
5
1
4
7
4
6
9
2
4
2