Question

1a)
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 is thrown at a speed of 85.2 mph. what is the z - score of this pitch? round your answer to two decimal places.

choice

a. 1.28
b. - 1.58
c. - 1.28
d. 1.58

Explanation:

Step1: Formula de z - score

La fórmula para calcular el z - score es \(z=\frac{x-\mu}{\sigma}\), donde \(x\) es el valor observado, \(\mu\) es la media y \(\sigma\) es la desviación estándar.

Step2: Sustituir valores

Dado que \(x = 85.2\), \(\mu=89\) y \(\sigma = 2.4\), sustituimos en la fórmula:

$$
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Answer:

B. - 1.58