just need help with questions 30-32

[Supplement 6] Control Chart The Pet-Pal Company produces delicious dog treats. Management wants the filling process to be properly adjusted so that the process average weight per packet is 54 grams. To make sure that the process is in control, an inspector at the end of the filling process periodically selects a random sample of 9 packets and weighs each packet. The mean and range for each sample are then recorded. The results from the last 5 samples are shown in the table below. Sample Mean 1 Range 6 52 2 54 5 3 55 8 4 56 9 5 53 7 Answer the following questions. Write your final answer only (without intermediate steps) for the fill-in-the-blank questions. Question 28 (4 points) Saved The mean of the sample means (i.e., 7) = 54 A/ Use 2-decimal accuracy for the final answer, e.g.,0.12, when necessary. Question 29 (4 points) Saved 7 Use 2- The average range (i.e., R) A decimal accuracy for the final answer, e.g., 0.12, when necessary. Compute control limits. Factors for computing control chart limits are provided in Table E1 below. Table E1: Factors for Computing Control Limits (3 sigma) Sample Size, n Mean Factor, A2 Upper Range, D4 Lower Range, D3 2 1.880 3.268 0 3 1.023 2.574 0 4 0.729 2.282 0 5 0.577 2.115 0 6 0.483 2.004 0 7 0.419 1.924 0.076 8 0.373 1.864 0.136 9 0.337 1.816 0.184 10 0.308 1.777 0.223 Question 30 (4 points) Saved For the X-chart: Upper Control Limit (UCL) - 58.40 A/ Lower Control Limit (LCL) - 57.11 Use 2-decimal accuracy for the final answer, e.g., 0.12, when necessary. Question 31 (4 points) Saved For the R-chart: Upper Control Limit (UCL) = 2.96 A/Lower Control Limit (LCL) - 0.12 Use 2-decimal accuracy for the final answer, e.g., 0.12, when necessary. Question 32 (4 points) Saved Is the process in statistical control? No. Cannot tell: more information is needed. Yes