Question

1. a baseball player has a batting average of 0.325 each week of the season, with a standard deviation of 0.065. what is the z score when he bats 0.410 one week? a) 0.410 b) 1.308 c) 1.275 d) 0.325

Explanation:

Step1: Recall the z - score formula

The z - score formula is \(z=\frac{x-\mu}{\sigma}\), where \(x\) is the data point, \(\mu\) is the mean, and \(\sigma\) is the standard deviation.

Step2: Identify the values

Given that \(\mu = 0.325\), \(\sigma=0.065\), and \(x = 0.410\).

Step3: Substitute the values into the formula

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Answer:

B. 1.308