Question

Use the following information to answer the next five exercises. A researcher is testing the effects of plant food on plant growth. Nine plants have been given the plant food. Another nine plants have not been given the plant food. The heights of the plants are recorded after eight weeks. The populations have normal distributions. The following table is the result. The researcher thinks the food makes the plants grow taller.

What is the p-value?

Short answer

The p-value is $p=0.0198$

Step-by-step solution

Given Information

The table is

Plant Group	Sample Mean Height of Plants (inches)	Population Standard Deviation
Food	16	2.5
No food	14	1.5

Determine the p- value

To find the p-value press STAT and $\to$.

Twice to select TESTS.

Select the 2- sample T test and press ENTER as displayed,

Simplifying

Once all the sample entries are made press ENTER to obtain the results as,

Thus, the p value is 0.0198.