At the U. S. Open Tennis Championship, a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 100 miles per hour (mph) and the standard deviation of the serve speeds was 10 mph.
Using the z-score approach for detecting outliers, which of the following serve speeds would represent outliers in the distribution of the player's serve speeds?
Speeds: 65 mph, 110 mph, and 120 mph.

The speed of 65 mph is an outlier in the distribution of the player's serve speeds

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100 mph

Standard Deviation, σ = 10 mph

Formula:

Outlier on basis of z-score:

Calculation of z-score:

Thus, the speed of 65 mph is an outlier in the distribution of the player's serve speeds as the corresponding z-score is less than -3.

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