Skip to content
Solved Assignments

Statistical Analysis of Hypothesis Testing and Comparative Studies

Exploration of hypothesis testing and comparative data analysis techniques.

Preview 3 of 8 pages

See the first 3 pages exactly as they appear in the document.

  1. Page 1
    Read page 1 as text

    Statistical Analysis of Hypothesis Testing and Comparative Studies 18. 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. 7. 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

  2. Page 2
  3. Page 3
    Read page 3 as text

    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 - 1*4+0*6+1*7=3 L2 - 1*3+0*7+1*8=5 L3 - 1*2+0*8+1*5=3 L4 - 1*1+0*4+1*7=6 L5 - 1*4+0*6+1*9=5 L6 - 1*2+0*4+1*2=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/sqrt(6) = 0.8819 t=(M - mu)/Sm = 3.667/0.8819 = 4.158 Using calculator, we find out the probability of two tail ed test to be 0.0088 13. You are conducting a study to see if students do better when they study all at once or in intervals. One group of 12 participants took a test after studying for one hour continuously. The other group of 12 participants took a test after studying for three twenty minute sessions. The first group had a mean score of 75 and a variance of 120. The second group had a mean score of 86 and a variance of 100. a. What is the calculated t value? Are the mean test scores of these two groups significantly different at the .05 level? n1 = 12 , x1 = 75 , s1 = 10.954 n2 = 12 , x2 = 86 , s2 = 10

5 more pages in the full document

Unlock it once and it stays in your library, ready to chat with or turn into flashcards.

Unlock the full document

More Statistics study materials

See all

Study this document with CramX

Once it is in your library, every tool can work from it.