HW4_Laura Hembree_510D01

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Liberty University *

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510

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Psychology

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Dec 6, 2023

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PSYC 510 H OMEWORK : D ATA O RGANIZATION AND D ESCRIPTIVE S TATISTICS A SSIGNMENT I NSTRUCTIONS O VERVIEW This Homework: Data Organization & Descriptive Statistics Assignment is designed to assess your understanding of the concepts and applications covered thus far in this course. In this module, you have looked at how to organize data and describe it in terms of central tendency, dispersion, and shape of distribution. You also have covered cover how to standardize a distribution of data in order to see how a single score compares to other scores. These topics are covered conceptually as well as how to calculate them by hand and in SPSS. These concepts and applications are fundamental to understanding and evaluating data as a consumer in a data-laden world, a consumer of data within our field, and producer of research in our field. I NSTRUCTIONS Be sure you have reviewed this module’s Learn section before completing this Homework: Data Organization & Descriptive Statistics Assignment . This Homework: Data Organization & Descriptive Statistics Assignment is worth 60 points. Each question is worth 3 points each. Six points are awarded for mechanics/structure. Part I contains general concepts from this module’s Learn section . Part II requires use of SPSS. You will have to take screen shots and/or copy and paste from your SPSS to place answers within this file. Make sure you only insert relevant and legible images. Part III is the cumulative section. These may include short answer and/or use of SPSS but will review material from previous module(s). Directions for each subsection are provided in the top of each table (in the blue shaded areas). Answers should be placed where indicated (wherever there is “ ANSWER ”). Submit the file as a WORD document (.doc or .docx). Make sure the filename of your submission includes your full name, course and section. o Example: HW4_JohnDoe_510B01 Make sure to check the Homework Grading Rubric before starting this Homework: Data Organization & Descriptive Statistics Assignment . Part I: General Concepts These questions are based on the concepts covered in this module’s assigned readings and presentations. 3 1 47 53 57 61 67 40 49 55 58 62 68 Page 1 of 6
PSYC 510 41 50 56 58 64 69 1. The following data represents 18 emotional intelligence test scores. Organize these data into a class interval frequency distribution using 3 intervals with frequency ( f ) and relative frequency ( rf ) columns. ANSWER: Fill in the yellow cells: 2. What is the class width ? What is the upper class limit of the first interval? ANSWER The upper class limit interval is 44. Answer the following question related to your assigned readings and presentations. 3. What do the following symbols represent? a. N b. µ a. This symbol represents population size. b. This symbol represents population mean. Use the following five (5) numbers to calculate the following by hand (must show all work and do NOT round 4. Calculate all measures of central tendency. Label each one. Mean= (3+3+4+5+9)/5= 4.8 Median=4 (the middle most) Mode= the highest frequency 5. Is this data best described as normal, positively skewed, or negatively skewed? How does your previous answer confirm this? Positively skewed because mean is greater than the median. 4.8>4= positively skewed. 6. Calculate the range and average deviation. Show all work. Range- 9-3= 6avg deviation= (1/5) * (|-1.8| + |-1.8| + |-0.8| + |0.2| + |4.2|) =1.76 7. Calculate the standard deviation using the formula from ch.5 . Show all work. Page 2 of 6 Class Intervals (use whole numbers) f rf (round to 2 decimals) ANSWER 31-44 3 0.17 ANSWER 44-57 6 0.33 ANSWER 57-69 9 0.5 N = 18
PSYC 510 8. State two ways the standard deviation differs from the average deviation. The average of square deviation is measured by the standard of deviation. The average of obsolete deviation is measured by the average deviation. The denomination for average deviation is (n) and the denominator for standard deviation is (n-1). Students in the psychology department consume an average of 5 cups of coffee per day with a standard deviation of 1.75 cups. The number of cups of coffee consumed is normally distributed. Make sure you do NOT round when answering any of these questions. When applicable, show ALL work for full points. 9. Nancy drank 6 cups of coffee. What proportion of students drank FEWER cups of coffee than Nancy? (do not round and use the table in the appendix of the Jackson e-book) P(X<6) = P (X- mean)/ S< (6-5) / 1.75= P(Z<0.57) = 0.7157 10. Which of the following curves (A, B, or C) best illustrate where Nancy’ s data would be? The curve that best illustrates where Nancy’s data would be is B. 11. How many cups of coffee would an individual at the 80 th percentile rank drink? (do NOT round) z-score for 0.8 = 0.84z = σ x− 0.84 = μ 1.75x−5 Multiply both sides by 1.751.47 = x -5x = 1.47+5 x = 6.47 cup 12. Imagine this course is over and instead of seeing your total points earned, you are given a z score and the grade is curved to fit a normal distribution. What would you want your z score to be and why ? (make sure you use a numerical value and indicate whether it is positive or negative) The z score is positive since it shows scores that are higher than the class average. I would want z-score to be higher than 1.28. It would be in the 90 th percentile of the classes score. Page 3 of 6
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PSYC 510 Part II: SPSS Application These questions require the use of SPSS. Remember you must submit all of your work within this word document. You will need to take a screen shot of your data view if necessary, or copy and paste your output into the spaces below. The following dataset contains scores for depression, a subscale on the DASS-21 from 18 individuals. This variable is considered scale and is discrete. Enter the following data into SPSS to answer the following questions. Make sure you name the variable “Depression” and that you set the scale of measurement within SPSS. 11 13 15 17 18 22 7 8 18 17 13 11 9 16 18 12 13 15 13. Insert the descriptive statistics table (NOT the frequency table) from your SPSS output. 14. Create a histogram of the data using SPSS and paste it below. Page 4 of 6
PSYC 510 Part III: Cumulative These questions can be related to anything covered thus far in the course. As part of his dissertation, Joe wanted to know if an icecream reward can increase the number of books read by children in the first grade. The small school has four 1 st grade classes – two are given the reward and two are not; total number of books read at the end of the term are compared. 15. What is the independent variable? Is it a true manipulated variable or a subject / participant variable? The number of awards granted is the independent variable. It is an altered variable. 16. What is the dependent variable? What is its scale of measurement? The quality of books read at the conclusion of the term is the dependent variable. The scale used would be the ordinal scale. 17. He found a huge difference – students read more in the classes rewarded with A possible complicating factor would be student enrollment. Page 5 of 6
PSYC 510 icecream. What is a potential confounding variable? Answer the final question related to your previous readings and presentations on reliability and validity. 18. When you log in to take your psychology exam, you are flabbergasted to find that all of the questions are on calculus and not psychology. The next day in class, students complain so much that the professor agrees to give you all a makeup exam the following day. When you arrive in class the next day, you find that although the questions are different, they are once again on calculus. In this example, there should be high reliability of what type? What type(s) of validity is the test lacking? Explain your answers. Alternate forms reliability should be good in that the same participants take the test twice. The second test, covered the same material but in a different format. The subject matter was calculus rather than psychology. Therefore making it lack in content validity. The students were aware that it was not a psychology test making it lack in face validity. Submit this assignment by 11:59 p.m. (ET) on Sunday of Module 4. Remember to name the file appropriately. Done! Page 6 of 6
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