9
QuizMultiple Choice

Estimating the Mean Difference — Unit test

Question 9 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

An athletic trainer would like to estimate how many additional calories are burned when completing a high intensity interval training (HIIT) workout for 30 minutes rather than doing yoga for 30 minutes. A group of 30 volunteers are randomly assigned to take a 30-minute HIIT class or a 30-minute yoga class wearing a calorie-counting armband. A 90% confidence interval for the true difference in the population means is 157.23 calories to 210.91 calories. Based upon the confidence interval, is it reasonable to claim that doing 30 minutes of a HIIT workout burns 250 more calories than doing a 30-minute yoga workout?

Answer
A
yes because 125 is in the confidence interval
B
yes because 250 is not in the confidence interval
C
no because 125 is in the confidence interval
D
no because 250 is not in the confidence interval
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An athletic trainer would like to estimate how…