1. Kyle obtained an IQ score of 112 (µ = 100, σ = 15). Calculate the z score associated with Kyle's IQ score. Calculate the z score for Jeremy with an IQ of 88.
2. What is the percentile ranking for an individual with a z = 1.89
3. Several different samples of children were tested. Using the same µ and σ provided above, calculate the z score for each of the samples with a mean IQ score of 110.
a. Sample size 10
b. Sample size 30
c. Sample size 40
Explain how the sample z scores differ from the individual z score. Explain the difference in scores between the sample sizes of 10 and 40.