In: Advanced Math
The next three questions are based on the following
information.
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  | 
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.)
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.)
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.)