PSYC354_HW6G.docx

# PSYC354_HW6G.docx - PSYC 354 HOMEWORK 6 Percentiles and...

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PSYC 354 H OMEWORK 6 Percentiles and Hypothesis Testing with Z-Tests When submitting this file, be sure the filename includes your full name, course and section. Example: HW6_JohnDoe_354B01 Be sure you have reviewed this module/week’s lesson and presentations along with the practice data analysis before proceeding to the homework exercises. Complete all analyses in SPSS, then copy and paste your output and graphs into your homework document file. Answer any written questions (such as the text-based questions or the APA Participants section) in the appropriate place within the same file. Part I: Concepts Answer the questions in the spaces provided. Part I: Questions 1-7 Answer the following questions. If applicable, remember to show work in your homework document for partial credit. 1) What are the 6 steps of hypothesis testing? (State the 6 steps) A) Identify populations, comparison distribution, and assumption B) state null and research hypotheses C) determine the characteristics of the comparison distribution D) determine the critical values E) Calculate the test statisic F) make a decision 2) Using the z table in Appendix B (Table B-1) of Nolan and Heinzen (2016), calculate the following percentages for a z score of 0.95 2-a) % above this z score: 17.11 z>0.95, % mean to Z 32.89, % in Tail =17.11 2-b) % below this z score: 82.89% 32.89+50=82.89 2-c) At least as extreme as this z score (on either side): 65.78 2(32.89)=65.78 Page 1 of 7

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PSYC 354 3) Rewrite each of the following percentages as probabilities, or p levels: 3-a) 13% = 0 .13 3-b) 78.2% = 0.782 3-c) 2% = 0.02 4) If the critical values, or cutoffs, for a two-tailed z test are -2.03 and +2.03, determine whether you would reject or fail to reject the null hypothesis in each of the following cases: 4a) z = 2.12 Reject the null hypothesis 4b) z = -1.4 Fail to reject the null hypothesis 5) A group of 17 men has an average height of M = 68.5 inches. We know that the population mean and standard deviation for men in the US is =69.1 inches, = 2.9 inches. (Note that this is a z statistic problem.) 5a) Calculate the z statistic for this sample ( not the z score ). 0.0853 5b) How does this sample mean compare to the distribution of sample means? In other
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