Question

In: Statistics and Probability

A school psychologist was interested in whether the 12 students in the chess club had a...

A school psychologist was interested in whether the 12 students in the chess club had a higher or lower mean grade point average (GPA) than the other students at a school. The overall GPA at the school was 2.55 but variability is unknown. The average GPA of students in the chess club was 2.76. Use the .05 significance level.
SS=2.16.

A) What is the appropriate test for the data?

(Z-Test, t-test for independent, t-test for dependent)


B) Conduct the appropriate hypothesis test by hand. Follow the five steps of hypothesis testing and provide a drawing.

C) Give an interpretation of this data and, when appropriate, report the statistics.

D) Explain how you found the characteristics of the comparison distribution. In your explanation, be sure to use the names of the concepts. For example, if you are calculating variance for the distribution of means call it that. Do not simply say "that number."

Solutions

Expert Solution

A)

Since sample size < 30 and population standard deviation unknown we will use one samplet-test

B) & C)


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