the heights of a certain type of tree are approximately normally distributed with a mean height y = 5 ft and a standard
deviation = 0.4 ft. which statement must be true?
o
a tree with a height of 5.4 ft is 1 standard deviation below the mean
a tree with a height of 4.6 ft is 1 standard deviation above the mean.
a tree with a height of 5.8 ft is 2.5 standard deviations above the mean
a tree with a height of 6.2 ft is 3 standard deviations above the mean.

Fourth Option:

"A tree with a height of 6.2 ft is 3 standard deviations above the mean"

Step-by-step explanation:

It is said that an X value is found Z standard deviations from the mean mu if:

In this case we have that:

We have four different values of X and we must calculate the Z-score for each

For

This means that: A tree with a height of 5.4 ft is 1 standard deviation above the mean

First Option: False

For

This means that: A tree with a height of 4.6 ft is 1 standard deviation below the mean

Second Option: False

For

This means that: A tree with a height of 5.8 ft is 2 standard deviation above the mean

Third Option: False

For

This means that: A tree with a height of 6.2 ft is 3 standard deviations above the mean.

Fourth Option: True