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EPY 8214 Exam 1 Take-Home Exam Spring 2013

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    EPY 8214 Exam 1 Take - home Exam Spring 2013 Directions 1. Exam is due in one week. Submit to the assignment dropbox by 11:59 PM on March 23 rd , 2013. Late submissions will not be accepted. 2. Record your answers to all questions directly on the test. 3. Please show all formulas that you use as well as your computations. You may attach additional sheets of paper if necessary. 4. Please feel free to consult your notes, the workbook (text) or any other statistical reference except another person. This is not a collaborative exam . 5. Read the pledge below and sign your paper below Pledge On my honor as a student, I have neither given or received aid on this examination _______________________________________________ Signature

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    1. For a sample with M = 60 and s = 6, find the value corresponding to each of the following z scores. a. z = +1.50 b. z = - 0.50 c. z = +2.00 d. z = - 1/3 We use the following formula : z = (X – M)/s then X = M + zs a. X = 69 b. X = 57 c. X = 72 d. X = 58 2. Describe what happens to the mean, the standard deviation and the shape of the distribution when all of the scores are transformed into z scores. This is possible to transform every X value in a distribution into a corresponding z - score. The z - score distribution will always have a mean of zero because if X = M we have z = 0. In the case of the standard deviation, the distribution of z - scores will always have a standard deviation of 1. As far as the shape, the shape of the z - score distribution will be the same as the raw scores distribution. 3. Which of the following will increase the power of a statistical test and why ? a. Change from .05 to .01 b. Change from a one - tailed test to a two - tailed test c. Change the sample size from n = 100 to n = 25 d. None of the other options will increase power. 4. If a treatment has a very small effect, then a hypothesis test is likely to: a. Result in a Type I error b. Result in a Type II error c. Correctly reject the null hypothesis d. Correctly fail to reject the null hypothesis

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