Understanding Control Charts: Problems & Solutions Guide

Question 1 10/10 pts Given the following control chart, which problem is most likely? 20 08 X-Bar Chart of Sample Means (11 centerline crossings) 4 /\/\'/\/\/\‘V\/\/"\A/\' e 2000 1605 1960 e VvV Y Gorvorns| s W 15 2 2 % % 4« 4 0 ‘Sample umbar o

Question 2 10/10pts Professor Murphy wants to set up a control chart to monitor the percentage of absentesism in his introductory statistics course (50 students are registered). Absences per period for the last 15 class sessions are in the table below. [Session | 1 [2 [ 3[4 [5[6[7[s8]ofw0]u|r[i3[14]1s [gseme [ 5T 02238 03551 [2]0]2 Using 3 sigma limits, calculate upper control limits for a p-chart to track absences. 0175 Question 3 10/10pts If LSL = 500, USL = 518, = 509, and o = 3, the "safety margin" to maintain the product specifications would be:

Question 4 10/10pts Professor Murphy wants to set up a control chart to monitor the percentage of absentesism in his introductory statistics course (50 students are registered). Absences per period for the last 15 class sessions are in the table below. [Session | [ibsent | Calculate the empirical centerline for a p-chart to track absences. 0.068 Question 5 10/10pts Ten samples of n = 5 were collected to construct an chart. The sample mean and range for each sample are shown in the table below. Sample Mean Range | Sample Mean Range 1 215 15 6 224 21 2 204 20 7 205 27 3 160 10 8 184 12 4 226 19 9 207 16 5 232 24 10 212 17 Calculate the empirical centerline for the R chart. 181

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Question 6 10/ 10 pts “The temperature control unit on commercial freezer in a 24-hour grocery store is set to maintain a mean temperature of 23 degrees Fahrenheit. The temperature varies because people are constantly opening the freezer door to remove items, but the thermostat is capable of maintaining a temperature with a standard deviation of 2 degrees Fahrenheit. The desired range is 18 to 30 degrees Fahrenheit. Find the Gy capability indexes. 0833 Question 7 10/10pts ‘The temperature control unit on a commercial freezer in a 24-hour grocery store is set to maintain a mean temperature of 23 degrees Fahrenheit. The temperature varies because people are constantly opening the freezer door to remove items, but the thermostat is capable of maintaining a temperature with a standard deviation of 2 degrees Fahrenheit. The desired range is 18 to 30 degrees Fahrenheit. Find the C, capability indexes.

Question 8 10/ 10 pts Each gumdrop in two bags of Sathers Gum Drops was weighed (to the nearest 001 ) on a sensitive Mettler PE 360 Delta Range scale. After removing one outlier (to improve normality, there were 84 gum drops in the sample, yielding an overall mean and a pooled standard deviation s = .2208 g. Use these sample statistics to construct control limits for an chart, using a subgroup size n = 6. What is LCL? Attached Data setGumbDrops.xlsx 11718 Question 9 10/ 10 pts Each gumdrop in two bags of Sathers Gum Drops was weighed (to the nearest 001 g) on a sensitive Mettler PE 360 Delta Range scale. After removing one outlier (to improve normality, there were 84 gum drops in the sample, yielding an overall mean and a pooled standard deviation s = .2208 g. (a} Use these sample statistics to construct control limits for an chart, using a subgroup size n = 6. What is UCL? Attached Data setGumDrops.xdsx & 122568

Question 10 10/10pts Each gumdrop in two bags of Sathers Gum Drops was weighed (to the nearest 001 ) on a sensitive Mettler PE 360 Delta Range scale. After removing one outlier (to improve normality, there were 84 gum drops in the sample, yielding an overall mean and a pooled standard deviation s = 2208 2. Use these sample stafistics to construct control limits for an chart, using a subgroup size n = 6. is process in control? Attached Data setGumDrops.xlsx | not known Maybe No Yes

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