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The thickness of a plastic film (in mils) on a sub- strate material is thought to be influenced by the temperature at which the coating is applied. A completely randomized experiment is carried out. Eleven substrates are coated at 125°F, resulting in a sample mean coating thickness of x = 103.5 and a sample standard deviation of s, = 10.2. Another 13 substrates are coated at 150°F, for which x = 99.7 and s2 = 20.1 are observed. It was originally suspected that raising the process temperature would reduce mean coating thickness. %3D %3D Do the data support this claim? Use a = 0.01 and assume that the two population standard deviations are not equal.

The thickness of a plastic film (in mils) on a sub- strate material is thought to be influenced by the temperature at which the coating is applied. A completely randomized experiment is carried out. Eleven substrates are coated at 125°F, resulting in a sample mean coating thickness of x = 103.5 and a sample standard deviation of s, = 10.2. Another 13 substrates are coated at 150°F, for which x = 99.7 and s2 = 20.1 are observed. It was originally suspected that raising the process temperature would reduce mean coating thickness. %3D %3D Do the data support this claim? Use a = 0.01 and assume that the two population standard deviations are not equal.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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TOPIC: Hypotheses Tests on the Difference in Means, Variances
Unknown & Equal or Unknown & Not Assumed Equal

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The thickness of a plastic film (in mils) on a sub- strate material is thought to be influenced by the temperature at which the coating is applied. A completely randomized experiment is carried out. Eleven substrates are coated at 125°F, resulting in a sample mean coating thickness of X = 103.5 and a sample standard deviation of s = 10.2. Another 13 substrates are coated at 150°F, for which x = 99.7 and s2 = 20.1 are observed. It was originally suspected that raising the process temperature would reduce mean coating thickness. Do the data support this claim? Use a = 0.01 and assume that the two population standard deviations are not equal.
Transcribed Image Text:The thickness of a plastic film (in mils) on a sub- strate material is thought to be influenced by the temperature at which the coating is applied. A completely randomized experiment is carried out. Eleven substrates are coated at 125°F, resulting in a sample mean coating thickness of X = 103.5 and a sample standard deviation of s = 10.2. Another 13 substrates are coated at 150°F, for which x = 99.7 and s2 = 20.1 are observed. It was originally suspected that raising the process temperature would reduce mean coating thickness. Do the data support this claim? Use a = 0.01 and assume that the two population standard deviations are not equal.
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