Question

question 1
an athletic trainer wants to find out if there is a significant difference in the mean height of football players and basketball players in a large school district. she randomly selects 100 high school varsity football players and 100 high school varsity basketball players to compare the mean heights for each group.
which of the following is the most appropriate statistical test to use to determine if there is a significant difference in mean height between basketball and football players?
a. inference for regression
b. anova
c. matched pairs t - test
d. chi - squared test for independence
e. two - sample t - test

Explanation:

Step1: Identify the problem type

We want to compare means of two independent groups (football and basketball players).

Step2: Analyze each option

• Inference for regression is for predicting a variable based on another, not for comparing means of two groups.
• ANOVA is for comparing means of more than two groups.
• Matched - pairs t - test is for paired data, not independent groups here.
• Chi - squared test for independence is for categorical data, not for comparing means of numerical data (height).
• Two - sample t - test is used to compare the means of two independent groups, which is appropriate here.

Answer:

E. Two - sample t - test