topic HYPOTHESIS TESTING please show step by step solution

B. Directions: Perform hypothesis testing. (5 Points Each) 1. 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 inch. 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 a = 0.01, is there reason to believe that the new food is responsible for a change in the growth of leaves? 2. During the pandemic people have become more health conscious, especially in eating red meat. In March, the average consumption of red meat per person was 51 kilos. A sample of 100 persons showed that they consumed, on average, 48 kilos of red meat in April with a standard deviation of 12 kilos. Using a = 0.05, is there enough evidence to conclude that the mean consumption of red meat decreased in April