3. Six percent of the computer chips produced by Cheapo Chips are defective. Each month a random sample of 200 chips manufactured in that month is selected. Let X= the number of defective chips in the sample. (a) Calculate the mean and standard deviation of X. Mx= np%3D(200(0.00) =12

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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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Part C. To reduce the percentage of defective chips the company...

3. Six percent of the computer chips produced by Cheapo Chips are defective. Each month a random sample
of 200 chips manufactured in that month is selected. Let X= the number of defective chips in the sample.
(a) Calculate the mean and standard deviation of X.
Mx
1(200)(0.0)-2]
%3D
%3D
%3D
ニ
3(d-1)du
(b) Find the probability that 8 or fewer chips in a sample of 200 are defective.
p(xg8)%3D(200,0.06,8)=0.1470
(c) To reduce the percentage of defective chips, the company contracts with a new supplier for some
important components. In the next month, the sample of 200 chips has only 8 defective ones. Can the
company conclude that the new components have reduced the rate of defective chips produced?
Explain.
Transcribed Image Text:3. Six percent of the computer chips produced by Cheapo Chips are defective. Each month a random sample of 200 chips manufactured in that month is selected. Let X= the number of defective chips in the sample. (a) Calculate the mean and standard deviation of X. Mx 1(200)(0.0)-2] %3D %3D %3D ニ 3(d-1)du (b) Find the probability that 8 or fewer chips in a sample of 200 are defective. p(xg8)%3D(200,0.06,8)=0.1470 (c) To reduce the percentage of defective chips, the company contracts with a new supplier for some important components. In the next month, the sample of 200 chips has only 8 defective ones. Can the company conclude that the new components have reduced the rate of defective chips produced? Explain.
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