4. 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.
Sample Mean Height of Plants
Food 16 2.5
No food 14 1.5
a. State the null hypothesis, H0, and the alternative hypothesis. Ha, in terms of the
Ho: ____________________ Ha: ____________________
b. What is the standardized test statistic value?
c. What is the p‐value?
d. What is the decision?
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