A biologist

A biologist knows that the average length of a leaf of a certain plant is 4 inches. The standard deviation of the population is 0.6 inches. A sample of 20 leaves of that type of plant given a new type of plant food had an average length of 4.2 inches. At level α =0.01, is there reason to believe that the new food is responsible for a change in the growth of leaves?

Result

x=

Yes

No

Step-by-step explanation:

$$\begin{gathered} \mu =4\text{in} \\ \sigma =0.6\text{in} \\ n=20 \\ m=4.2\text{in} \\ \alpha =0.01 \\ x=0 \end{gathered}$$

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