3 4 5 6 A B C D E F G H J K M N P Q R Problem 1) A production manager at a toy manufacturing plant has inspected the number of surprise toy boxes in 10 random samples of 75 observations each. Following are the number of defective boxes found in each sample: Sample Number of Defects P Chart: Number of B Observations Proportion of Defects 9 in Sample 10 1 13 75 0.17 11 2 17 75 0.23 12 3 11 75 0.15 13 4 9 75 0.12 14 5 10 75 0.13 15 6 7 75 0.09 16 7 12 75 0.16 17 8 6 75 0.08 18 9 8 75 0.11 19 10 14 75 0.19 20 Total 107 750 21 22 (a) 23 (b) 24 (c) Calculate the proportion of defective toy boxes in each sample. Calculate the control limits for the p-chart corresponding to this problem at a 99.74% confidence. Graph the p chart for the above problem 25 (d) Write the conclusion you draw from the chart (be specific). 26 27 Op= 0.04 0.14 28 z= 3.00 29 30 CL= 0.14 31 UC- 0.26 32 LCL-> 0.02 33 34 35 36 37 Conclusion:
3 4 5 6 A B C D E F G H J K M N P Q R Problem 1) A production manager at a toy manufacturing plant has inspected the number of surprise toy boxes in 10 random samples of 75 observations each. Following are the number of defective boxes found in each sample: Sample Number of Defects P Chart: Number of B Observations Proportion of Defects 9 in Sample 10 1 13 75 0.17 11 2 17 75 0.23 12 3 11 75 0.15 13 4 9 75 0.12 14 5 10 75 0.13 15 6 7 75 0.09 16 7 12 75 0.16 17 8 6 75 0.08 18 9 8 75 0.11 19 10 14 75 0.19 20 Total 107 750 21 22 (a) 23 (b) 24 (c) Calculate the proportion of defective toy boxes in each sample. Calculate the control limits for the p-chart corresponding to this problem at a 99.74% confidence. Graph the p chart for the above problem 25 (d) Write the conclusion you draw from the chart (be specific). 26 27 Op= 0.04 0.14 28 z= 3.00 29 30 CL= 0.14 31 UC- 0.26 32 LCL-> 0.02 33 34 35 36 37 Conclusion:
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 8E: List the sample space of each experiment. Picking a one-digit number
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Problem 1) A production manager at a toy manufacturing plant has inspected the
number of surprise toy boxes in 10 random samples of 75 observations each. Following
are the number of defective boxes found in each sample:
Sample Number of
Defects
P Chart:
Number of
B
Observations
Proportion
of Defects
9
in Sample
10
1
13
75
0.17
11
2
17
75
0.23
12
3
11
75
0.15
13
4
9
75
0.12
14
5
10
75
0.13
15
6
7
75
0.09
16
7
12
75
0.16
17
8
6
75
0.08
18
9
8
75
0.11
19
10
14
75
0.19
20
Total
107
750
21
22
(a)
23
(b)
24
(c)
Calculate the proportion of defective toy boxes in each sample.
Calculate the control limits for the p-chart corresponding to this problem at a 99.74% confidence.
Graph the p chart for the above problem
25
(d)
Write the conclusion you draw from the chart (be specific).
26
27
Op=
0.04
0.14
28
z=
3.00
29
30
CL=
0.14
31
UC-
0.26
32
LCL->
0.02
33
34
35
36
37
Conclusion:
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