Problem
A sample is drawn a population with known mean of 100 and standard deviation of 15 (the IQ norms). The following scores were obtained, complete the calculations for the z-scores (report to 2 digits of precision, e.g. 1.10, -0.12), then use the unit normal tables (from your textbook or the course shell) to report the percential rank to the nearest whole percent (e.g. 93, 45, etc.):
|
X
|
z
|
% rank
|
|
91
|
[A]
|
[B]
|
|
126
|
[C]
|
[D]
|
|
113
|
[E]
|
[F]
|
|
119
|
[G]
|
[H]
|
|
118
|
[I]
|
[J]
|
|
124
|
[K]
|
[L]
|
|
74
|
[M]
|
[N]
|
|
107
|
[O]
|
[P]
|
|
90
|
[Q]
|
[R]
|
What is the mean of this sample (to the nearest tenth, e.g. 98.5) ___ [S]?
If this mean was itself a score in a distribution of all possible means for samples of this size (n=9), with a known mean of means = 100, and standard deviation of means = 5, what would it's z-score be (to the nearest .01) ___ [T] ?