STAT 200 Week 6 Homework Problems [SOLVED GRADED A]

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? 1% b. What is the probability that you will make a Type I error given that the null hypothesis is false? 0% 2. True/false: It is easier to reject the null hypothesis if the researcher uses a smaller alpha (α) level. 3. 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 getting 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 a. Compute L for each subject using the contrast weights -1, 0, and 1. That is, compute (-1)(a) + (0)(b) + (1)(c) for each subject. L1 - 1x4+0x6+x7=3 L2 - 1x3+0x7+1x8= 5 L3 - 1x2+0x8+1x5= 3 L4 - 1x1+0x4+1x7= 6 L5 - 1x4+0x6+1x9= 5 L6 - 1x2+0x4+1x2= 1 This study source was downloaded by from CourseH on :03:35 GMT -05:00 This study resource was shared via CourseH Oliver, Krystie Week 6 0 b. Compute a one-sample t-test on this column (with the L values for each subject) you created. M= Sample Mean = (3+5+3+6+5+0) 6 =3.667 Standard error of mean = Sm = 2.160 √(6) =0.8819 t= (M−mu) SM = 3.667 0.8819 =4.158