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Question: A professor recorded three statistics exam scores and other variables for 20 students in her...

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A professor recorded three statistics exam scores and other variables for 20 students in her statistics course.  There are seven variables in this data set: (1) ID number, (2) Sex, (3) Study Place, and (4) Hours of Work, (5) Exam 1 score, (6) Exam 2 score, and (7) Exam 3 score.

·      Sex (1 = Males, 2 = Females)

·      Study_Place ("Where do you study the most frequently for this class?"   

1 = My room, 2 = Library, 3 = Coffee shops, 4 = others)

·      Work_Hour ("On average, how many hours do you spend for job-related tasks?")

Picture1 spss.png

Problem #1 :

Calculate the z score of the average exam score for each case.  

a.    Show me the scores on all9variables (the original 7 variables, the mean exam score, and its z score) for the first 5cases.

b.   What is the z score of mean exam for ID #1?  Interpret his z score?    

c.    Get the mean and SD of the z scores.  Review the output; can you locate the mean and SD of the z score distribution? What are the values?   

Problem #2

a.     Calculate the mean and standard deviation (SD) of the mean exam score separatelyby study place.  

b.     Construct a bar-graph for study place.  The X-axis represents Study Place and the Y-axis represents MEAN exam score.  

c.     Review the output from 4-a and 4-b.  What conclusion can you draw from them? (for example, "Would the location of study be related to average exam score?")

math   Statistics-And-Probability   
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