11.17 Henderson Corporation makes metal sheets, among otherproducts. When theproperly, 92% of the sheets contain no defects, 5% have one defectthat is used to make metal sheets worksprocess each, and 3% have two or more defects each. The quality control inspec-tors at the company take samples of metal sheets quite often and checkthem for defects. If the distribution of defects for a sample is significantly different from the above-mentioned percentage distribution, theprocess is stopped and adjusted. A recent sample of 300 sheets producedthe frequency distribution of defects listed in the following tableNumber of defectsOneNoneTwo or MoreNumber of metal sheets2622414Does the evidence from this sample suggest that the process needs anadjustment? Use a = .01

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Asked Nov 18, 2019
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11.17 Henderson Corporation makes metal sheets, among other
products. When the
properly, 92% of the sheets contain no defects, 5% have one defect
that is used to make metal sheets works
process
help_outline

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11.17 Henderson Corporation makes metal sheets, among other products. When the properly, 92% of the sheets contain no defects, 5% have one defect that is used to make metal sheets works process

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each, and 3% have two or more defects each. The quality control inspec-
tors at the company take samples of metal sheets quite often and check
them for defects. If the distribution of defects for a sample is signifi
cantly different from the above-mentioned percentage distribution, the
process is stopped and adjusted. A recent sample of 300 sheets produced
the frequency distribution of defects listed in the following table
Number of defects
One
None
Two or More
Number of metal sheets
262
24
14
Does the evidence from this sample suggest that the process needs an
adjustment? Use a = .01
help_outline

Image Transcriptionclose

each, and 3% have two or more defects each. The quality control inspec- tors at the company take samples of metal sheets quite often and check them for defects. If the distribution of defects for a sample is signifi cantly different from the above-mentioned percentage distribution, the process is stopped and adjusted. A recent sample of 300 sheets produced the frequency distribution of defects listed in the following table Number of defects One None Two or More Number of metal sheets 262 24 14 Does the evidence from this sample suggest that the process needs an adjustment? Use a = .01

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Expert Answer

Step 1

Given data

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Number of Two or Total None One defects more Number of metal 262 24 14 300 sheets (Observed) Expected number of sheets 300 х 0.92 300 х 0.05 300 х0.03 — 300 276 15

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Step 2

Formulation of Hypothesis

Null Hypothesis H0: - The distribution of the defect in the sample is same as mentioned percentage distribution.

 Alternative Hypothesis H1: - The distribution of the defect in the...

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(О: — Е)? x2 Е; (262 276)2 (24 15)2 (14-9)2 x2 = 8.8879 276 15 Degree of freedom is given by d. o.f (no of rows 1) x (no of columns 1) = (2 - 1) x (3 - 1) 1 x 2 2 _ Finding the critical chi-square value CHISQ.INV.RT (0.01,2)) x.01.2 = 9.21 ( FROM EXCEL = x2< x3.01.2 Хо.01,2

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