A new process has been developed for applying photoresist to 125-mm silicon wafers used in manufacturing integrated circuits. Ten wafers were tested, and the following photoresist thickness measurements (in angstroms × 1000) were observed: 13.3987, 13.3957, 13.3902, 13.4015, 13.4001, 13.3918, 13.3965, 13.3925, 13.3946, and 13.4002. (For your convenience, we have calculated sample mean: 13.4 and sample standard deviation: 0.0039. You can use them directly.) (a) Test the hypothesis that mean thickness is 13.4 × 1000 Å. Use a = 0.2 and assume a two- sided alternative. (b) Find a 90% two-sided confidence interval on mean photoresist thickness. Assume that thickness is normally distributed.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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A new process has been developed for applying photoresist to 125-mm silicon wafers used in
manufacturing integrated circuits. Ten wafers were tested, and the following photoresist
thickness measurements (in angstroms × 1000) were observed: 13.3987, 13.3957, 13.3902,
13.4015, 13.4001, 13.3918, 13.3965, 13.3925, 13.3946, and 13.4002. (For your convenience,
we have calculated sample mean: 13.4 and sample standard deviation: 0.0039. You can use
them directly.)
(a) Test the hypothesis that mean thickness is 13.4 × 1000 Å. Use a = 0.2 and assume a two-
sided alternative.
(b) Find a 90% two-sided confidence interval on mean photoresist thickness. Assume that
thickness is normally distributed.
Transcribed Image Text:A new process has been developed for applying photoresist to 125-mm silicon wafers used in manufacturing integrated circuits. Ten wafers were tested, and the following photoresist thickness measurements (in angstroms × 1000) were observed: 13.3987, 13.3957, 13.3902, 13.4015, 13.4001, 13.3918, 13.3965, 13.3925, 13.3946, and 13.4002. (For your convenience, we have calculated sample mean: 13.4 and sample standard deviation: 0.0039. You can use them directly.) (a) Test the hypothesis that mean thickness is 13.4 × 1000 Å. Use a = 0.2 and assume a two- sided alternative. (b) Find a 90% two-sided confidence interval on mean photoresist thickness. Assume that thickness is normally distributed.
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