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.

State the null and alternative hypotheses.

Short answer

Subscripts : $1=\mathrm{Food},2=\mathrm{No}$ Food

$H_0:{\mu }_1\le {\mu }_2$

$H_0:{\mu }_1>{\mu }_2$

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

State the null and alternative hypotheses.

Null and alternative hypothesis is given by,

Subscripts : $1=\mathrm{Food},2=\mathrm{NoFood}$

$H_0:{\mu }_1\le {\mu }_2$

$H_0:{\mu }_1>{\mu }_2$