3) Suppose a test (KAE) is administered that uses 20 multiple-choice questions and for each person who takes the test, 2 scores are obtained, an attitude score (KAE-A) and a general
knowledge score (KAE-GK). Based on a large-scale study of college students, the
distribution of KAE-A scores has a mean of u = 11.92 and standard deviation of o = 2.95,
while the distribution of KAE-GK scores has a mean of u = 6.35 and a standard deviation of
o= 2.12. Consider a random sample of 100 college students and suppose you observe a
sample mean KAE score of 6.5., but you forget which KAE test score the data describe.
a) What is the sample mean and standard deviation of the KAE-A scores?
b) What is the z score if x is from KAE-A
c) What is the sample mean and standard deviation of the KAE-GK scores?
d) What is the z score if x is from KAE-GK
e) Is this result more likely the mean of the KAE-A or KAE-GK scores? Explain.