Quarters. In Exercises 9–12, refer to the accompanying table o...

Question

Quarters. In Exercises 9–12, refer to the accompanying table of weights (grams) of quarters minted by the U.S. government. This table is available in Data Set 44 “Weights of Minted Quarters” in Appendix B.
Find the values of LCL and UCL for an xbar chart.

Find the values of LCL and UCL for an xbar chart.

Accepted Answer

Hello, everyone. Let's take a look at this question together. Refer to the accompanying table of notebook batteries recorded at 4 different time intervals on 5 different days. These values represent the quality control measures used to ensure consistent battery weight, and here we have our table of the notebook batteries recorded at the 4 different time intervals on the 5 different days. And our sample mean Or X bar is 12.5, and our average range or R bar is 0.05, and we have to find the control limits for the X chart, more specifically the lower control limit and the upper control limit. And we are also given the A2 factors for different sample sizes, which the factors depend on the subgroup size, and since we have 4 Measurements per day, our N is equal to 4, so our A2 factor based on our end value of 4 is 0.729, and then we can use the formulas for the lower control limit and the upper control limit, which substituting the values into the lower control limit formula, we get 12.5 minus in parentheses, 0.7. 29 multiplied by 0.05, giving us the value of 12.4 for the lower control limit, and then we substitute the values into the upper control limit formula, giving us 12.5 plus in parentheses 0.729 multiplied by 0.05, resulting in the value of 12.5. So our Lower control limit value is 12.4 and our upper control limit value is 12.5. And looking at our answer choices for the same lower control limit value and upper control limit value, we can identify answer choice B is the correct answer, as it contains the correct values for the control limits for the X chart, and all other answer choices are incorrect. I hope you found this video to be helpful. Thank you and goodbye.

��app