Question 1
The sampling distribution of the test statistic for a goodness-of-fit test withkcategories is:
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approximately a chi-square distribution withk – 1 degrees of freedom.
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approximately a chi-square distribution withkdegrees of freedom.
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a chi-square distribution withk – 1 degrees of freedom.
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a Student’stdistribution withk – 1 degrees of freedom.
Question 2
The target grade distribution for a particular course is 10% A, 30% B, 40% C, 15% D, 5% F. Students complain that a particular professor who teaches this course grades “too hard.” The present students survey 250 former students of this professor’s class and then do aχ2 goodness-of-fit test to see if the data provide sufficient evidence to support their complaint. They find a critical value of 14.7 and a test statistic of 9.8, withα= 0.10. What is the take-away conclusion from this survey?
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The professor’s grades do not conform to the target.
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The professor’s grades conform to the target.
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There is not sufficient statistical evidence to reject the idea that the professor’s grades conform to the target.
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There is sufficient statistical evidence to reject the idea that the professor’s grades conform to the target.
A Scatterplot of the Test Scores and Average Grades of 10 Students
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Construct a Lorenz curve that shows income distribution in this society.
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