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Read the following description of an experiment. $\newline$ A massage therapist has received complaints that the fragrance of her massage oil is unpleasant. She is testing whether a new oil will improve each clients' experience. $\newline$ The massage therapist randomly sorts her clients into two groups. She massages $5$ clients from the first group with the new oil and $5$ from the other group with her usual oil. She asks all $10$ clients to rate their massages. $\newline$ Is this experiment statistically well designed? $\newline$ Choices: $\newline$ [A]yes $\newline$ [B]no

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Experiment design

Full solution

Q. Read the following description of an experiment.

\newline

A massage therapist has received complaints that the fragrance of her massage oil is unpleasant. She is testing whether a new oil will improve each clients' experience.

\newline

The massage therapist randomly sorts her clients into two groups. She massages

5

clients from the first group with the new oil and

5

from the other group with her usual oil. She asks all

10

clients to rate their massages.

\newline

Is this experiment statistically well designed?

\newline

Choices:

\newline

[A]yes

\newline

[B]no

Identify Treatment: Identify the treatment in the experiment. $\newline$ The new oil is the treatment being tested.
Check Treatment Group: Check for a treatment group. $\newline$ There are $5$ clients receiving the new oil, which is the treatment group.
Check Control Group: Check for a control group. $\newline$ There are $5$ clients receiving the usual oil, which serves as the control group.
Random Assignment: Determine if the groups were randomly assigned. $\newline$ The clients were randomly sorted into two groups.
Statistical Design: Decide if the experiment is statistically well designed. $\newline$ Since there's a treatment group, a control group, and random assignment, the experiment seems well designed.

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