In: Statistics and Probability
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."
A)
Since sample size < 30 and population standard deviation unknown we will use one samplet-test
B) & C)