Question

A baseball league finds that the speeds of pitches are normally distributed,with a mean of 89 mph and a standard deviation of 2.4 mph. One pitch isthrown at a speed of 85.2 mph. What is the Z-score of this pitch? Round youranswer to two decimal places.A. 1.58B. 1.28O C. -1.28OD. -1.58

Answer 1

Answer: D. -1.58

Explanation: The Z-score is calculated by taking the raw score, subtracting the mean, and then dividing by the standard deviation. This gives us (-85.2-89)/2.4 = -1.58