PSYC123 Workbook 2019 - STUDENT V2 (Repaired).docx

# Refer to appendix b p616 in jb x µ σ z 31 p x 31 or

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Refer to Appendix B, p.616 in J&B. X µ σ Z 31 P (X < 31) = __________ or __________% 27

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Workbook 2019: Answers V2 The Central Limit Theorem (CLT) can be tricky to comprehend at times even with textbook guidance. Have a look at this short 3 and half minute video which explains the CLT (via bunnies and dragons!) rather comprehensively (ctrl + click to follow the link ): 4) What is the law of large numbers? Describe its implications. BONUS QUESTION: If we assume that practically all the things that we normally measure are on some level the average of random processes, then given the above laws what could we hypothesise about most very large samples? 5) What does the Standard Error of the Mean represent? (HINT: the accuracy or deviation of __ __ in predicting __ __ ) Calculations: 6) What is the formula for calculating the Standard Error of the Mean? 29

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Workbook 2019: Answers V2 Week 5: Sampling Distributions Post-tutorial questions (answer after tutorial). Read Chapter 8 of J&B or Chapter 10 GH 7) If we are sampling from a population with μ = 95, σ = 10 what would be the standard error of the mean for the following sample sizes a) N = 100 σ ´ X = σ N = 10 100 = 10 10 = 1.00 b) N = 20 c) N = 48 d) N = 1000 BONUS QUESTIONS: What do you notice as N increases? Would we take larger or smaller samples to get a smaller standard error? 30
Workbook 2019: Answers V2 8) If we are sampling from a population with μ = 85, σ = 16 what would be the Z scores for the following sample means with the associated sample sizes , i.e., we need to work out the standard error of the mean, σ ´ X a) ´ X = 77 below , N = 64 σ ´ X = σ N = = Z ¿ ´ X μ σ ´ x = ¿ = ¿ p = b) ´ X = 85 above, N = 20, also find the probability using the distribution table.

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