Question

after this years census of its members, the local pilots association found that its members have a mean of 3475 hours of flight experience with a standard deviation of 767 hours. hong is a member of this pilots association. the census shows that he has 3214 hours of flight experience. find the z - score of hongs flight experience relative to the flight experiences of all the members of the pilots association. round your answer to two decimal places. z =

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 of \(x\), \(\mu\), and \(\sigma\)

Given that \(x = 3214\), \(\mu=3475\), and \(\sigma = 767\).

Step3: Substitute the values into the formula

$$
LATEXBLOCK0
$$

Answer:

\(-0.34\)