Estimate the population standard deviation

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Reference no: EM131040007

1. Chapter 11 Exercise 6 (page 302)A supplier quotes a Cp value of 1.7 After a discussion with representatives you determine that they are calculating standard deviation as you desire but you are concerned that they had a sample size of only 20 Determine a 95% confidence interval for the population Cp

2. Chapter 11 Exercise 7 (page 302) An organization requires a Cp value of 2.00 given a smaple size of 30 determine the min. level for a sampled Cp value in order to be 97.5% confident that the Cp population value is 2.00

3. Data have been collected to test whether the thickness of a poly silicon coating depends upon the deposition temperature. Test whether there is any difference in the thickness at different temperature levels at α = 0.05 (See Table 1).

Table 1
Temperature                          Polysilicon Thickness

1

110

112

109

115

2

105

99

100

103

3

115

120

109

117

4

102

110

108

102

4. A chemical engineer has reason to believe that the batches of raw materials used in the manufacture of a compound differ significantly in Nitrogen content. Currently the company uses many batches: for this study, the engineer randomly selected five of these batches and recorded 3 observations on each batch. The data is in Table 2. Conduct ANOVA at α = 0.01 and test whether there is any difference

Table - Batches

1 2 3 4 5
8.5 8.4 8.4 8.5 8.9
8.6 8.5 8.9 8.4 8.6
8.2 8.3 8.2 8.2 8.2

5. . Suppose the sample means and standard deviations are observed for the samples of size 5

a. Construct the X bar and s chart.

b. Verify if the process is in control

c. Estimate the population standard deviation

Sample

X bar

s

Sample

X bar

s

1

2.15

0.14

11

2.10

0.17

2

2.07

0.10

12

2.19

0.13

3

2.10

0.11

13

2.14

0.07

4

2.14

0.12

14

2.13

0.11

5

2.18

0.12

15

2.14

0.11

6

2.11

0.12

16

2.12

0.14

7

2.10

0.14

17

2.08

0.07

8

2.11

0.10

18

2.18

0.10

9

2.06

0.09

19

2.06

0.06

10

2.15

0.08

20

2.13

0.14

Reference no: EM131040007

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