PSY 202 Homework 4 KEY.pdf - This material may not be distributed without the explicit consent from its author Dr Nick Prins Homework 4 PSY 202 Prins

# PSY 202 Homework 4 KEY.pdf - This material may not be...

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Homework 4. PSY 202 Prins. 55/55 = 100% Name: __________________________________ Circle correct answer or write your final answers on the lines. Show your work. Give correct symbols throughout (for example in problem 5). 1. True/False 2 points each T F Doubling the sample size will halve the standard error FALSE (Central Limit Theorem: σ M = σ / N. In order to halve the standard error you need to quadruple sample size) T F The mean of the distribution of means will equal the mean of the population TRUE (Central Limit Theorem) T F The standard error of the mean is the standard deviation of your sample. FALSE (Central Limit Theorem) T F The logic of hypothesis testing goes like this: You figure out what you might expect for your sample result if the treatment has an effect (this is the ‘comparison distribution’). Then if you get a sample result you did not expect, you decide that the treatment has no effect. FALSE (it goes thus: You figure out what you can expect if the treatment does NOT have an effect. Then if you get a result you did not expect, you decide that the treatment DOES have an effect) T F It is easier to reject the Null Hypothesis when the effect size is small FALSE (vice versa) 2. The distribution of means will be approximately normally distributed if a. your sample is large ( 30) b. the population of individual scores is normally distributed c. a and/or b (Central Limit Theorem) d. only if a and b are both true 2 points 3. A population of 900 scores has a mean of 100 and a standard deviation of 20. The distribution of means for samples of size 100: a. Will have a mean of 100 and a standard error of 20/ 900 = .667 b. Will have a mean of 100 and a standard error of 20/ 100 = 2 (CLT) c. Will have a mean of 900*100 = 90,000 and a standard error of 900/ 100 = 90 d. cannot be determined from the information given 2 points 4. The standard deviation of the distribution of means (the standard error) will

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