The board of directors is meeting to discuss quality on a particular product. The quality supervisor wants to create a chart that is easy to understand. What chart would you choose? Use n = 50 and p 0.09 to calculate the control limits and centerline. Create and interpret this chart. 12 3 4 5 6 7 8 9 10 Subgroup Number 54 3 26 18 5 Noncon- 8 2 2 forming

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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The board of directors is meeting to discuss quality on a particular product. The quality supervisor wants to create a chart that is easy to understand. What chart would you choose? Use n = 50 and p = 0.09 to calculate the control limits and centerline. Create and interpret this chart.

The board of directors is meeting to discuss quality on a particular product. The quality
supervisor wants to create a chart that is easy to understand. What chart would you
choose? Use n = 50 and p 0.09 to calculate the control limits and centerline. Create
and interpret this chart.
12 3 4 5 6 7 8 9 10
Subgroup
Number
54 3 26 18 5
Noncon-
8
2
2
forming
Transcribed Image Text:The board of directors is meeting to discuss quality on a particular product. The quality supervisor wants to create a chart that is easy to understand. What chart would you choose? Use n = 50 and p 0.09 to calculate the control limits and centerline. Create and interpret this chart. 12 3 4 5 6 7 8 9 10 Subgroup Number 54 3 26 18 5 Noncon- 8 2 2 forming
Expert Solution
Step 1

We will choose control chart to understand the quality of particular product with time to time.

Given that,

n = 50

p = 0.09

Step 2

Given data of subgroup number and nonconforming is,

Subgroup Number

1

2

3

4

5

6

7

8

9

10

Nonconforming

5

4

3

2

6

18

5

8

2

2

 

The formula to calculate mean or center line is,

Statistics homework question answer, Step 2, Image 1
Step 3

Substitute 50 for n and 0.09 for p in the above formula, get:

х %3D пр
= 50 x 0.09
=4.5
Step 4

The formula to calculate the upper control limit is,

UCL np+3np(1- p)
Substitute 50 for n and 0.09 for p in the above formula, get
UCL np+3p(1-p)
=50 x 0.093/50 x0.09 x (1-0.09)
= 10.5708
10.57
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