To study the weight accuracy of a 50lb fertilizer bag, 12 samples of 12 bags of fertilizer in each sample were taken and the results are as follows. Mean Range Sample 1 47 1.1 Sample 2 46 1.31 Sample 3 46 0.91 Sample 4 47 1.1 Sample 5 48 1.21 Sample 6 50 0.82 Sample 7 49 0.86 Sample 8 49 1.11 Sample 9 51 1.12 Sample 10 52 0.99 Sample 11 50 0.86 Sample 12 51 1.2
Part 1) The overall average weight of a bag of fertilizer is ______________pound, and the average range is _________________pound. (Please round to two decimal points and include no units.)
Part 2) The upper control limit for a 99.7% control chart for the mean is ______________ pound, and the lower control limit is _______________ pound. (Please round to two decimal points and include no units. Please enter the upper limit first.)
Part 3) The upper control limit for a 99.7% control chart for the range is ____________ pound, and the lower control limit is _____________ pound. (Please round to two decimal points and include no units. Please enter the upper limit first.)