ANSWER:
The required sample size is 13.5
No. This number of IQ test scores s a fairly small number.
STEP-BY-STEP EXPLANATION:
We can calculate the sample size like this:
[tex]n={\mleft({\frac{{{Z_{\alpha/2}}\sigma}}{E}}\mright)^2}[/tex]
Where,
n is the sample size.
Z is the standard normal variate.
α is the level of significance.
E is the margin of error.
σ is the population standard deviation
Replacing:
[tex]\begin{gathered} n={({\frac{1.96\cdot15}{8}})^2} \\ n=13.5 \end{gathered}[/tex]
It is not a reasonable number, this number of IQ score is a fairly small number
