1. The Wechsler IQ test has a normal shape with m = 100 and s = 15. What will be
ID: 3336373 • Letter: 1
Question
1. The Wechsler IQ test has a normal shape with m = 100 and s = 15. What will be the characteristics (mean, SE and shape) of a distribution of means of samples of n = 100 taken from this population? (
2.Still speaking of the Wechsler IQ test, if you take a random sample of n = 100 students, what is the probability that the sample mean will be (a) Less than 105? (b) Less than 98? (c) Between 97 and 103?
2. Still speaking of the Wechsler IQ test, if you take a random sample of n = 36 students, what is the probability that the sample mean will be (a) Less than 105? (b) Less than 98? (c) Between 97 and 103?
Explanation / Answer
Solution: 1) Mean of sample = 100 i.e. mean of polulation as sample mean is an estimate of polulation mean
SE = 15/(100)^0.5 = 1.5 (s/(n)^0.5)
Shape = Normal as when the distribution of polulation mean is normal then the distribution of sample mean is also normal
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