EBK OM
6th Edition
ISBN: 9781305888210
Author: Collier
Publisher: YUZU
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Chapter 16, Problem 4PA
Summary Introduction
Interpretation: Control chart using the Excel
Concept Introduction: x-bar chart is used to measure the statistical data of the industry. It is also one type of shewhart chart. The main process of the x-bar chart is to invigilate the arithmetic means of the given samples of the constant size.
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The weights of boxes of Oat Flakes within a large production lot are sampled each hour. Managers want to set control limits that include 99.73% of the sample means, and given is the population (process) standard deviation, which is 1.13.
You are in charge of randomly selecting four boxes each hour, for three hours. The data you collected is located in the table below:Using an Xbar Chart, what are the upper and lower control limits?
Sample
Avg. of 4 boxes
1
16.8
2
17.1
3
17.2
8
A pizza delivery service wants to track their delivery times. They take eight samples of four deliveries and record the following data. What are the upper and lower control limits of their X-bar chart? (Note: Although it looks similar, the data in the table below is different from the data in the table relating to the UCL and LCL for the R chart.)
Sample #
1
2
3
4
5
6
7
8
Item #1
21.1
20.2
24.6
22.6
23.7
20.9
22.4
20.7
Item #2
22.2
20.6
20
20.7
24.1
23.9
24.6
24.4
Item #3
23.0
24.5
23.2
23.0
20.7
22.8
23.0
22.8
Item #4
20.0
23.5
25.5
25.0
20.7
23.2
23.3
24.5
Sum
86.3
88.8
93.3
91.3
89.2
90.8
93.3
92.4
Group of answer choices
25.2, 20.0
25.4, 20.0
23.9, 21.3
24.1, 21.1
9. A pizza delivery service wants to track their delivery times. They take eight samples of four deliveries and record the following data. What are the upper and lower control limits of their R-chart? (Note: Although it looks similar, the data in the table below is different from the data in the table relating to the UCL and LCL for the X-bar chart.)
Sample #
1
2
3
4
5
6
7
8
Item #1
21.1
20.2
24.1
22.6
21.2
20.0
22.0
20.2
Item #2
21.7
20.6
21.0
22.1
24.1
24.2
24.6
24.9
Item #3
23.5
24.9
23.2
23.0
20.6
22.8
23.4
22.8
Item #4
20.0
23.5
24.8
25.0
20.7
23.2
23.3
24.5
Group of answer choices
7.0, 0.5
9.3, 0.0
8.5 0.0
10.1, 0.0
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