Hello! Can someone help me solve Option D. And provide an explanation as well! P
ID: 393048 • Letter: H
Question
Hello! Can someone help me solve Option D. And provide an explanation as well! Please, and thank you :)
Problem 6s.10 Question Help A process that is considered to be in control measures an ingredient in ounces. Below are the last 1 U samples (each ot sze n = 5) taken. Ine population process standard deviation is 1.36 Samples 5 2 3 4 7 9 10 10 11 10 99 10 11 10 813 11 12 9 12 97 9 8129 8 14 1910 13 710129 9 11 a) Standard deviation of the sampling means0.608 ounces (round your response to three decimal places) b) With z 3, the control limits for the mean chart are UCL12.144 ounces (round your response to three decimal places) LCL8.496 ounces (round your response to three decimal places) c) The control limits for the R-chart are UCLR 9.306 ounces (round your response to three decimal places) LCLR 0 ounces (round your response to three decimal places) d) Based on the x-chart, is one or more samples beyond the control limits? Click to select your answer(s) and then click Check Answer 0 Yes Final Check remainingExplanation / Answer
The steps to be followed are :
Xbar of a sample = Sum of 5 sets of data in each sample / 5
The values of Xbar for each of 10 samples are presented in below table :
Sample-->
1
2
3
4
5
6
7
8
9
10
11
13
14
9
13
11
11
12
9
9
10
11
10
9
9
10
11
10
8
13
11
12
9
12
9
7
9
8
12
9
8
14
11
9
10
13
7
10
12
9
13
12
8
11
11
10
10
7
9
11
Xbar =
10.6
12.4
10.4
10
10.4
10.2
9.6
9.4
10
10.2
The values of Xbar are therefore = 10.6/ 12.4/ 10.4 /`10/10.4 /10.2/9.6/9.4/10/10.2
As it can be seen that the second value of Xbar i.e. 12.4 is outside the control limit range of 8.496 – 12.144 . Therefore , one sample is beyond the control limit
Based on X bar chart , is one or more samples beyond control limits : YES
Sample-->
1
2
3
4
5
6
7
8
9
10
11
13
14
9
13
11
11
12
9
9
10
11
10
9
9
10
11
10
8
13
11
12
9
12
9
7
9
8
12
9
8
14
11
9
10
13
7
10
12
9
13
12
8
11
11
10
10
7
9
11
Xbar =
10.6
12.4
10.4
10
10.4
10.2
9.6
9.4
10
10.2
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