Question

. Approximatelywhat percentage of the studentsare between 40 and 60 inches tall?

Answer 1

`Z=(x-\mu)/(\sigma)`

The z-score, also referred to as standard score, z-value, and normal score, among other things, is a dimensionless quantity that is used to indicate the signed, fractional, number of standard deviations by which an event is above the mean value being measured. Values above the mean have positive z-scores, while values below the mean have negative z-scores.

when x = 40

`\begin{gathered} Z=(40-64)/(4.23) \\ Z=-5.67 \end{gathered}`

when x = 60

`\begin{gathered} Z=(60-64)/(4.23) \\ Z=-0.946 \end{gathered}`

Therefore the percentage of the students is

`0.17182\text{ x 100 = 17.18\%}`