Answer:
0.03 is the probability that for the sample mean IQ score is greater than 103.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 100
Standard Deviation, σ = 16
Sample size, n = 100
We are given that the distribution of IQ score is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling =
P( mean IQ score is greater than 103)
P(x > 103)
Calculation the value from standard normal z table, we have,
0.03 is the probability that for the sample mean IQ score is greater than 103.