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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

Question 1 of 3

5.0 Points 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.)
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Question 2 of 3

5.0 Points The upper control limit for a 99.7% control chart for the mean is  pound, and the lowercontrol limit is  pound. (Please round to two decimal points and include no units.Please enter the upper limit first.)
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Question 3 of 3

5.0 Points The upper control limit for a 99.7% control chart for the range is  pound, and the lowercontrol limit is  pound. (Please round to two decimal points and include no units.Please enter the upper limit first.)
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Explanation / Answer

Mean of Ranges=1.1+1.31+.91+1.1+1.21+.82+.86+1.11+1.12+.99+.86+1.2/12=12.59/12=1.05

Mean of Means=47+46+46+47+48+50+49+49+51+52+50+51/12=586/12=48.83

Mean(x) (x-Mean)^2 Range(y) (y-Mean)^2 Sample 1 47 3.361111111 1.1 0.002584028 Sample 2 46 8.027777778 1.31 0.068034028 Sample 3 46 8.027777778 0.91 0.019367361 Sample 4 47 3.361111111 1.1 0.002584028 Sample 5 48 0.694444444 1.21 0.025867361 Sample 6 50 1.361111111 0.82 0.052517361 Sample 7 49 0.027777778 0.86 0.035784028 Sample 8 49 0.027777778 1.11 0.003700694 Sample 9 51 4.694444444 1.12 0.005017361 Sample 10 52 10.02777778 0.99 0.003500694 Sample 11 50 1.361111111 0.86 0.035784028 Sample 12 51 4.694444444 1.2 0.022750694 Mean 48.83 1.05 (x-Mean)^2 45.66666667 (y-Mean)^2 0.277491667 sd=sqrt((x-Mean)^2/11) 2.04 sd=sqrt((y-Mean)^2/11) 0.16

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