***** YOU MUST USE THE TABLE T0 COMPLETE THE PROBLEMS. ALL Z SHOULD BE ROUNDED T0 2 DECIMALS AND ALL ANSWERS T0 4 DECIMALS****** 1. (12.5 points) For another subject in a study, acetone levels were normally distributed with a mean of 870 and a standard deviation of 211 ppb. Find the probability on a given day a subject's acetone level is (use a normal probability table not a calculator command): (a) Do you use the correction factor on this problem? (Answer either: Yes or No) (b) between 600 and 1000 ppb (c) over 900 ppb (d) under 500 ppb (e) between 900 and 1100 ppb (f) What is the 15.39th percentile, rounded to 2 decimal places and units? 2. (20 points) In an agricultural experiment, a large uniform eld was planted with a single variety of wheat. The eld was divided into many plots (each plot being 7 ft x 100 ft) and the yield (lb) of grain was measured for each plot. These plot yields followed approximately a normal distribution with mean 88 lb and stande deviation 7 lb. What probability of the plot yields were (use a normal probability table not a calculator command): (a) Do you use the correction factor on this problem? (Answer either: Yes or No) (b) 80 lb or more? (c) 90 lb or more? (d) 75 lb or less? (e) between 75 and 90 lb? (f) between 90 and 100 lb? (g) between 75 and 80 lb? (h) Using the information in the problem, nd the yield that would represent the 65.1?th percentile, round to 2 decimal places and units? (i) Using the information in the problem, nd the yield that would represent the 34.83th percentile, round to 2 decimal places and units?