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MC Qu. 23 C&A manufactures treats for dogs... C&A manufactures treats for dogs. Six samples each of five bags of treats were

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Answer #1

Let us first find the average across all samples = X-bar

Average of average of all samples = X-Dbar

We also need to find out the standard deviation of all the 30 samples

Let us calculate using excel as below -

Bag
Sample 1 2 3 4 5 X-bar
1 10.2 11.8 10.1 5.9 8.6 9.320
2 8.9 11.2 12.4 7.6 5.9 9.200
3 10.6 8.8 7.6 11.3 9.9 9.640
4 9.6 6.5 12.5 10.4 6.9 9.180
5 5.9 8.6 10.3 11.8 10.1 9.340
6 12.1 7.3 5.9 10.8 11.1 9.440
X-Dbar 9.353
stdev 2.123

Hence, CL = X-Dbar = 9.353

Stdev = 2.123

Hence, UCL = CL + 3*stdev

=> UCL = 9.353 + 3*2.123 =  15.72

Hence, option (c) is the correct choice

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