Answer:
The sample size is 96. Yes, a relatively small number is the number of IQ test scores.
Step-by-step explanation:
Consider the provided information.
Standard deviation is 15 with 95% confidence that the sample mean is within 3 IQ points of the true mean.
Now use the formula:
[tex]n=(\sigma \times \frac{z_{\alpha/2}}{e})^2 ; e=3[/tex]
As it is given that confidence interval is 95% thus α = 1 - 0.95 = 0.05
Now use the normal curve table:
[tex]z_{\frac{0.05}{2}}=z_{0.025}=1.96[/tex]
Substitute the respective values in the above formula.
[tex]n=(15\times \frac{1.96}{3})^2[/tex]
[tex]n=(5\times 1.96)^2[/tex]
[tex]n=96.04[/tex]
Therefore, the sample size is 96.
Yes, a relatively small number is the number of IQ test scores.
