A method of applying zinc plating to steel is supposed to produce a coating whose mean thickness is no greater than 7 microns. A quality inspector measures the thickness of 36 coated specimens and tests H0: μ ≤ 7 versus H1: μ > 7. She obtains a P-value of 0.40. Since P > 0.05, she concludes that the mean thickness is within the specification. Is this conclusion correct? Explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
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A method of applying zinc plating to steel is supposed to produce a coating whose mean thickness is no greater than 7 microns. A quality inspector measures the thickness of 36 coated specimens and tests H0: μ ≤ 7 versus H1: μ > 7. She obtains a P-value of 0.40. Since P > 0.05, she concludes that the mean thickness is within the specification. Is this conclusion correct? Explain.

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