BUS 226 Business Statistics Elam # 4: Chap 8 and 9 Student: Date Use of the textbook, notes or the internet is prohibited. Please show me your work. Be sure to demonstrate the formulas, work, process for credit. Use scratch paper as needed. This test is worth l5 p-ointsi! Bo'i chapters will ask you to analer data extracted from the 11.3. Department of Agriculture (2010].. _-EI CHAPTER 8: CENTRAL LIMIT THEOREM (75 points) 8-1. (25 points) The consumption of processed vegetables by people in the United States in a recent year was normally distributed, with a population mean of 152.7 pounds and a population standard deviation of 51.6 pounds. Using a sample size of 36 community college students, solve the following problems. What is the Probability that A will be greater than 177 pounds? (8 points) What is the Probability that X will be greater than 148 pounds? (8 points) What is the Probability that I will be between 160 and 170 pounds? (9 points)\f\f\f\f\f\f