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this process and known to follow a normal ifferent etching solutions have been compare- m samples of 10 wafers for each solution. TH ates are as follows (in mils per minute): Solution 1 Solution 2 9.9 10.6 10.2 10.0 9.4 10.3 10.6 10.2 9.3 10.0 10.7 10.7 9.6 10.3 10.4 10.4

this process and known to follow a normal ifferent etching solutions have been compare- m samples of 10 wafers for each solution. TH ates are as follows (in mils per minute): Solution 1 Solution 2 9.9 10.6 10.2 10.0 9.4 10.3 10.6 10.2 9.3 10.0 10.7 10.7 9.6 10.3 10.4 10.4

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.6: Rational Functions
Problem 11SC: Find the mean hourly cost when the cell phone described above is used for 240 minutes.
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10-23. + In semiconductor manufacturing, wet chemical etching is often used to remove silicon from the backs of wafers prior to metallization. The etch rate is an important characteris- tic in this process and known to follow a normal distribution. Two different etching solutions have been compared using two random samples of 10 wafers for each solution. The observed etch rates are as follows (in mils per minute): Solution 1 Solution 2 9.9 10.6 10.2 10.0 9.4 10.3 10.6 10.2 9.3 10.0 10.7 10.7 9.6 10.3 10.4 10.4 10.2 10.1 10.5 10.3 (a) Construct normal probability plots for the two samples. Do these plots provide support for the assumptions of normal- ity and equal variances? Write a practical interpretation for these plots. (b) Do the data support the claim that the mean etch rate is the same for both solutions? In reaching your conclusions, use a = 0.05 and assume that both population variances are equal. Calculate a P-value. (c) Find a 95% confidence interval on the difference in mean etch rates.
Transcribed Image Text:10-23. + In semiconductor manufacturing, wet chemical etching is often used to remove silicon from the backs of wafers prior to metallization. The etch rate is an important characteris- tic in this process and known to follow a normal distribution. Two different etching solutions have been compared using two random samples of 10 wafers for each solution. The observed etch rates are as follows (in mils per minute): Solution 1 Solution 2 9.9 10.6 10.2 10.0 9.4 10.3 10.6 10.2 9.3 10.0 10.7 10.7 9.6 10.3 10.4 10.4 10.2 10.1 10.5 10.3 (a) Construct normal probability plots for the two samples. Do these plots provide support for the assumptions of normal- ity and equal variances? Write a practical interpretation for these plots. (b) Do the data support the claim that the mean etch rate is the same for both solutions? In reaching your conclusions, use a = 0.05 and assume that both population variances are equal. Calculate a P-value. (c) Find a 95% confidence interval on the difference in mean etch rates.
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