Homework Help is Here – Start Your Trial Now!
Math
Statistics
In semiconductor manufacturing, wet chemical etching is often used to remove silicon from the backs of wafers prior to metalization. The etch rate is an important characteristic 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. Assume the variances are equal. The etch rates are as follows (in mils per minute): Solution 1 Solution 2 9.8 10.2 10.3 10.6 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) Calculate the sample mean for solution 1:x1 = 3.632 Round your answer to two decimal places (e.g. 98.76). (b) Calculate the sample standard deviation for solution 1: s1 = i Round your answer to three decimal places (e.g. 98.765). (c) Calculate the sample mean for solution 2:2 = Round your answer to two decimal places (e.g. 98.76). (d) Calculate the sample standard deviation for solution 2: s1 = i Round your answer to three decimal places (e.g. 98.765). (e) Test the hypothesis Ho : µ1 = µ2 vs Hj : µ1 # 42. Calculate to = i Round your answer to two decimal places (e.g. 98.76). (f) Do the data support the claim that the mean etch rate is different for the two solutions? Use a = 0.05. (g) Calculate a 95% two-sided confidence interval on the difference in mean etch rate. (Calculate using the following order:I1 – 12) (i < H1 - H2 S i ) Round your answers to three decimal places (e.g. 98.765).

In semiconductor manufacturing, wet chemical etching is often used to remove silicon from the backs of wafers prior to metalization. The etch rate is an important characteristic 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. Assume the variances are equal. The etch rates are as follows (in mils per minute): Solution 1 Solution 2 9.8 10.2 10.3 10.6 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) Calculate the sample mean for solution 1:x1 = 3.632 Round your answer to two decimal places (e.g. 98.76). (b) Calculate the sample standard deviation for solution 1: s1 = i Round your answer to three decimal places (e.g. 98.765). (c) Calculate the sample mean for solution 2:2 = Round your answer to two decimal places (e.g. 98.76). (d) Calculate the sample standard deviation for solution 2: s1 = i Round your answer to three decimal places (e.g. 98.765). (e) Test the hypothesis Ho : µ1 = µ2 vs Hj : µ1 # 42. Calculate to = i Round your answer to two decimal places (e.g. 98.76). (f) Do the data support the claim that the mean etch rate is different for the two solutions? Use a = 0.05. (g) Calculate a 95% two-sided confidence interval on the difference in mean etch rate. (Calculate using the following order:I1 – 12) (i < H1 - H2 S i ) Round your answers to three decimal places (e.g. 98.765).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
See similar textbooks
icon
Related questions
icon
Concept explainers
Question
In semiconductor manufacturing, wet chemical etching is often used to remove silicon from the backs of wafers prior to metalization. The etch rate is an important characteristic 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. Assume the variances are equal. The etch rates are as follows (in mils per minute): Solution 1 Solution 2 9.8 10.2 10.3 10.6 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) Calculate the sample mean for solution 1:Ij = i 3.632 Round your answer to two decimal places (e.g. 98.76). (b) Calculate the sample standard deviation for solution 1: s1 = i Round your answer to three decimal places (e.g. 98.765). (c) Calculate the sample mean for solution 2:2 = i Round your answer to two decimal places (e.g. 98.76). (d) Calculate the sample standard deviation for solution 2: s1 = i Round your answer to three decimal places (e.g. 98.765). (e) Test the hypothesis Ho : u1 = µ2 vs H1 : H1 # H2. Calculate to = Round your answer to two decimal places (e.g. 98.76). (f) Do the data support the claim that the mean etch rate is different for the two solutions? Use a = 0.05. (g) Calculate a 95% two-sided confidence interval on the difference in mean etch rate. (Calculate using the following order:I – X2) (i < H1 - H2 S i ) Round your answers to three decimal places (e.g. 98.765).
Transcribed Image Text:In semiconductor manufacturing, wet chemical etching is often used to remove silicon from the backs of wafers prior to metalization. The etch rate is an important characteristic 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. Assume the variances are equal. The etch rates are as follows (in mils per minute): Solution 1 Solution 2 9.8 10.2 10.3 10.6 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) Calculate the sample mean for solution 1:Ij = i 3.632 Round your answer to two decimal places (e.g. 98.76). (b) Calculate the sample standard deviation for solution 1: s1 = i Round your answer to three decimal places (e.g. 98.765). (c) Calculate the sample mean for solution 2:2 = i Round your answer to two decimal places (e.g. 98.76). (d) Calculate the sample standard deviation for solution 2: s1 = i Round your answer to three decimal places (e.g. 98.765). (e) Test the hypothesis Ho : u1 = µ2 vs H1 : H1 # H2. Calculate to = Round your answer to two decimal places (e.g. 98.76). (f) Do the data support the claim that the mean etch rate is different for the two solutions? Use a = 0.05. (g) Calculate a 95% two-sided confidence interval on the difference in mean etch rate. (Calculate using the following order:I – X2) (i < H1 - H2 S i ) Round your answers to three decimal places (e.g. 98.765).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 7 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Continuous Probability Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
SEE MORE TEXTBOOKS