Question

heights of tomato plants are Normally distributeda mean of 3.56 feet and a standard deviation of 0.25About% of tomato plants hathan or equal to 3.88 feet. Round thedecimal places, if necessary.but what percent of tomato plants have a height lessun or equal to 3.88 feet?e the z-table to answer the question.

Answer 1

We need to find the percentage of tomato plant that has a height less than or equal to 3.88 feet.

We know that the tomato plant heights are normally distributed with a mean of 3.56 ft and a standard deviation of 0.25 ft.

Thus, the percentage P(x≤3.88) of the heights being less than 3.88 can be calculated using the z-score z, given by:

`z=\frac{3.88-mean}{standard\text{ deviation}}`

Thus, we have:

`\begin{gathered} P(x\leq3.88)=P\left(z\leq(3.88-3.56)/(0.25)\right) \\ \\ P(x\leq3.88)=P\left(z\leq1.28\right) \end{gathered}`

Using a z-score table, we find that:

`P(z\leq1.28)\cong0.89973`

Therefore, the percent we are looking for is:

`P(x\leq3.88)\cong89.973\%\cong89.97\%`

Answer

About 89.97% of tomato plants.