lynette, a student in mrs. navards class, is 65 inches tall. the average height of the students in her class…

lynette, a student in mrs. navards class, is 65 inches tall. the average height of the students in her class is 67 inches with a standard deviation of 4.29. what is the corresponding z - score of lynettes height? round to 3 decimal places

lynette, a student in mrs. navards class, is 65 inches tall. the average height of the students in her class is 67 inches with a standard deviation of 4.29. what is the corresponding z - score of lynettes height? round to 3 decimal places

Answer

Explanation:

Step1: Identify the formula for z - score

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

Step2: Substitute the given values into the formula

Given (x = 65), (\mu=67), and (\sigma = 4.29). [ \begin{align*} z&=\frac{65 - 67}{4.29}\ &=\frac{- 2}{4.29} \end{align*} ]

Step3: Calculate the value

(z=\frac{-2}{4.29}\approx - 0.466)

Answer:

(-0.466)