Jacinta was hired by a commercial farmer in Region 3 to assess the state of his pepper plants on his farm. Jacinta knows that after a certain number of weeks, the plants should be within a certain height range. Jacinta decided to model plant height using a probability distribution model. She concluded that the height of any given plant is independent of any other. She will take a sample of plants (n) and determine their heights. She will then compare the percentage of the plant heights of her sample that are in the recommended range with the percentage the probability model asserts. Requirements

(a) Outline which probability model Jacinta should use and explain why.

(b) Write out the probability model, explaining the reason for the choice of the parameter values

(c) Perform the comparison on behalf of Jacinta, stating clearly your conclusion.

(d) If Jacinta is to consider the 5 beds of pepper separately, computing the mean height for each bed, what can she extract from this set of means?