Question

Close shave Which of two brands $(XorY)$of electric razor shaves closer? Researchers

want to design and carry out an experiment to answer this question using $50$adult male

volunteers. Here’s one idea: Have all $50$subjects shave the left sides of their faces with the

Brand $X$razor and shave the right sides of their faces with the Brand $Y$razor. Then have

each man decide which razor gave the closer shave and compile the results.

a. Identify any flaws you see in the proposed design for this experiment.

b. Describe how you would design the experiment. Explain how your design addresses

each of the problems you identified in part (a).

Short answer

Our required answers are:

(a) Men's dominant hand may have a greater impact on shave closeness than razor quality

(b) Divide $50$volunteers into two groups of $25$each

Step-by-step solution

Part (a) Step 1: Given Information

We are given razor of two brands $X$and $Y$. We take an experiment on $50$adult men's in which they shave their left sides of their faces with the Brand $X$razor and shave the right sides of their faces with the Brand $Y$razor. We need to find flaw in experiment conducted.

Part (a) Step 2: Explanation

There is flaw in experiment due to reason that man's dominant hand may have a greater impact on shave closeness than razor quality. As this will not give us our accurate result.

Part (b) Step 1: Given Information

We are given razor of two brands $X$and $Y$. We take an experiment on $50$adult men's in which they shave their left sides of their faces with the Brand $X$razor and shave the right sides of their faces with the Brand $Y$ razor. We need to design experiment to remove flaw we have found in part(a)

Part (b) Step 2: Explanation

We can remove flaw in experiment by dividing $50$volunteers into two equal groups and give one group razor of brand $X$and another group razor of brand $Y$, then compare length of hair left after shaving that will lead to more accurate data as compare to previous result.