The heights of a certain type of tree are approximately normally distributed with a mean height p = 5 ft and a standard deviation o = 0.4 it. Which statement must be true?

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

Step-by-step explanation:

⇒ statement: A tree with a height of 5.4 ft is 1 standard deviation below the mean(FALSE)

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

In this case we have:  

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

For X =5.4\ ft

Therefore, A tree with a height of 5.4 ft is 1 standard deviation above the mean.

⇒ statement:A tree with a height of 4.6 ft is 1 standard deviation above the mean. (FALSE)

For X =4.6 ft  

Therefore, a tree with a height of 4.6 ft is 1 standard deviation below the mean .

⇒ statement:A tree with a height of 5.8 ft is 2.5 standard deviations above the mean (FALSE)

For X =5.8 ft

Therefore, a tree with a height of 5.8 ft is 2 standard deviation above the mean.

⇒ statement:A tree with a height of 6.2 ft is 3 standard deviations above the mean. (TRUE)

For X =6.2\ ft

Therefore, a tree with a height of 6.2 ft is 3 standard deviations above the mean.

step-by-step explanation: