A farmer believes that the yields of his tomato plaints have a normal distribution with an average yield of 11 lbs and a standard deviation of 2.1 lbs. The farmer would like to identify the plants which yield the highest 5% in weight and save them for breeding purposes.What yielded weight seperates the top 5% of the crop from the rest?
Use the information above and the Z table to find the Z score that you will use in this problem:
Now use the Z score to calculate the weight that would seperate the top 5% of the crop from the rest. Round your answer to the nearest whole number:
Using the information you just found, answer the following question: If a tomato plant yielded 14 pounds, would it be kept for breeding purposes? (yes or no and explain your answer)