Question

if we wanted to compare average iq to determine if senior boys are brighter than junior boys, which inference procedure would be best?
two - sample z test
chi - square test for homogeneity
one - sample t test
two - sample t test

Explanation:

Step1: Analyze the nature of the problem

We are comparing the average IQ of two independent groups (senior boys and junior boys).

Step2: Recall the inference procedures

• Two - Sample Z Test: Requires known population variances.
• Chi - Square Test for Homogeneity: Tests if the distribution of a categorical variable is the same across groups, not for comparing means.
• One - Sample T Test: Compares a sample mean to a hypothesized population mean, not two groups.
• Two - Sample T Test: Used to compare the means of two independent groups when population variances are unknown (which is often the case in real - world data like IQ scores where population variances are typically not known).

Answer:

Two - Sample T Test