Percentage of Scores & Behavioural Science Statistic

PSY 317 – Homework #1 Fall 2023- Slane/Rowlett Name: All problems must be computed by hand, showing all work. In addition, you will calculate problems 3 and 4 using SPSS. Please turn in your “by hand” work, and printouts of the SPSS output with the appropriate answers circled. 1. Using the table below, solve the following equations: Subject 1 2 3 4 5 6 7 8 # days overtime (X) 6 2 8 3 10 4 12 11 # sick days (Y) 7 5 6 5 1 2 2 4 +a. X=________ b. (Y)2 = _________ c.  XY= ________ d. Y= _________ e. Y2= __________ f. (Y) (X) = _________ g. X2 = _________ h. (X)2 = __________ 2. For the following, indicate whether the measure is nominal, ordinal, interval, or ratio. 8/23/23 a. Multiple choice exam scores ___________ b. Social security number ___________ c. GPA ___________ d. Degrees Celsius ___________ e. Weight ___________ f. Political party affiliation ___________ g. Likert Scale course evaluations ___________ h. Bronze, silver, gold medals ___________ i. Star ratings of restaurant ___________ PSY 317 – Homework #1 Fall 2023- Slane/Rowlett Name: 3. For the data below, answer the following: 7 1 0 8 5 5 6 4 7 6 1 1 a. N Answer: __________ b. Mode Answer: __________ c. Median Answer: __________ d. Mean Answer: __________ e. SS Answer: __________ f. S2 Answer: __________ g. S Answer: __________ 3 2 7 7 4 4 4. For the data below, answer the following: 15 10 13 8/23/23 5 19 16 15 10 18 1 a. N Answer: __________ b. Mode Answer: __________ c. Median Answer: __________ d. Mean Answer: __________ e. SS Answer: __________ f. S2 Answer: __________ g. S Answer: __________ 14 14 12 18 14 14 16 17 14 5 PSY 317 – Homework #1 Fall 2023- Slane/Rowlett Name: 5. An exam produced raw scores with a mean of 30 and a standard deviation of 5. Find the following: a. the z-score for X = 35 ________ b. the z-score for X = 25 ________ c. What is the percentage of scores below a raw score of 35? ________ d. What is the percentage of scores below a raw score 25? ____ 6. For a distribution of test scores where X = 50 and s = 10, answer the following: a. What is the percentage of scores above 54? b. What is the percentile of a raw score of 54? ________ ________ c. What is the proportion of scores below a z score of -1.35? 8/23/23 ________ PSY 317 – Homework #1 Fall 2023- Slane/Rowlett Name: 7. Amy’s score on the Math midterm is 35 (the midterm mean = 28 and standard deviation = 2). Her score on the Spanish midterm is 75 (the midterm mean = 75 and standard deviation = 10). In which class is Amy doing better? 8. What is the z-score for the following percentiles? 25th ____________ 50th ____________ 95th ________ 9. Students may be classified as having a math dysfunction – and not have to take statistics – if they score below the 10th percentile on a diagnostic test. The µ of the test is 50 and σ = 10. a. Approximately what raw score is the cutoff score required to avoid taking statistics? 8/23/23