(52, 47, 55, 46, 42, 45, 55, 48, 53, 45, 49, 57, 59, 57, 43, 58, 52, 58, 59, 57, 60, 59, 44, 47, 44, 43, 49, 42, 52, 42, 47, 58 ) 1. Is this set of 32 batteries approximately normally distributed? If so why?(ii) Since the data collected in terms of months and the warranty policy is in terms of years we need to convert 3.5 years to months. Ans: (ili) Use the graph bellow to shade the area represented by a battery life less than 3.5 years. Be sure to indicate the sample mean. (lv) Use the normalcdf function on the calculator to find the probability that a battery chosen at random (from the sample) is less than 3.5 years (converted to months). Note: As in part (a) above, write the problem in mathematical notation and use the calculator. Ans: (v) Using the answer from (iv) will the manufacturer have to change its current policy? Why