6
QuizMultiple Choice

Choosing the Appropriate Inference Procedure

Question 6 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

A company that sells hair-care products claims that a product that combines shampoo and conditioner works better than a shampoo and conditioner used separately. A researcher recruits 60 volunteers and pairs them according to age, hair color, and hair type. For each pair, the researcher flips a coin to determine which volunteers will use the shampoo/conditioner combination and which ones will use the separate shampoo and conditioner. After using the products for one month, the subjects are asked to rate their satisfaction with the hair products on a scale of 1–10 (1 = highly dissatisfied and 10 = highly satisfied). The mean difference in satisfaction ratings (Combined – Separate) is calculated.

Answer
A
one-sample t-test for
Option A
B
one-sample z-test for p
C
one-sample t-test for
Option C
D
two-sample t-test for
Option D
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