A gardener is interested in whether or not a premium brand of plant food, 'A', produces taller plants than the discount brand '8'. Independent random samples of plants fed brand A and brand 3 were collected, and the height of each plant was recorded in cm. These results are presented in the table below. Let the plants fed brand A be referred to as group A, and the plants fed brand 3 be referred to as group B. At a significance level of 5%, is there any evidence to suggest that the population mean height of group A is more than that of group 3? Remember to clearly state the null and altematiue hypotheses, and to show all of your work. You may assume that the population variances between brand A and brand B are equal, and that the underlying distributions are normal