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Answer:
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:
- Any z-score greater than 3 or less than -3 is considered to be an outlier.
- This rule of thumb is based on the empirical rule.
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.