The registrar at Talbot College wishes know whether the mean GPA for the Graduat
ID: 3232219 • Letter: T
Question
The registrar at Talbot College wishes know whether the mean GPA for the Graduating Class of 2016 was higher than the mean GPA for the Graduating Class of 2015. She averages the final GPA's for all of the students in the two graduating classes, and discovers that the Class of 2016 had a mean GPA of 2.95 and the class of 2015 had a mean of 2.70. The registrar must perform an inferential test (i.e., a t-test) before she can conclude definitively that the class of 2011 had a higher mean GPA than the Class of 2010. True False According to the central limit theorem, which of the following happens to a distribution of sample means as sample size (N) increases? The sampling distribution becomes homogeneous. The sampling distribution becomes more spread out. The mean of the sampling distribution approaches mu (the mean of the sampled population). The standard deviation of the sampling distribution approaches sigma (the standard deviation of the sampled population). Which of the following does not have to be known in order to construct a decision rule? the alpha level the critical value the statistical test the directionality of the test All are necessary for a decision rule.Explanation / Answer
Solution: 6
it is true,To match the GPA of Class of 2011 has higher than a GPA of class of 2010, We would use two sample t-test where samples are dependent on each other so we will use paired t-test.
Solution 7:(C):
According to Central limit theorem as sample size increases,the mean of sampling distribution approaches mean of population. For this we need atleast N>30.
Solution 8 (e)
For decision rules All are necessary, becasue we required alpha value which is confidence level, Critical and statistical value to reject and accept null hypothesis and directionality of the test also required.