A new purification unit is installed in a chemical process. Before its installation, a random sampleyielded the following data about the percentage of impurity: x1 = 9.85 , S12 = 81.73 , and n1 = 8 . After installation, a random sample resulted in x2 = 8.08 , S2 = 78.46 , and n2 = 10 . b) Can you conclude that the new purification device has reduced the mean percentage of impurity?Use a = 0.05. Suppose the two unknown variances are equal.(i) What will be your null and alternative hypothesis?(ii) When will you reject the null hypothesis Ho in terms of to (and tan₁+n₂-2, ₁-an₁+n₂-2, ta/2n₁+n₂-2and/or t₁-a/2.n₁+n₂-2)?(iii) What is the value of tan,+n₂-2?(iv) What is the value of to?(v) Based on (ii)-(iv), your decision on H, would be:(vi) Which is true?: (v) means "The mean impurity before and after are:" (the same) or (not the same)? Q2.A new purification unit is installed in a chemical process. Before its installation, a random sampleyielded the following data about the percentage of impurity: x₁=9.85, S3=81.73, and n₁ = 8. Afterinstallation, a random sample resulted in ₂8.08, S3 = 78.46, and n₂ =10.a) Can you conclude that the two variances are equal? Use a = 0.05.(i) What will be your null and alternative hypothesis?(ii) To test the hypothesis, you will Reject Ho if Fo> Fa/2n₁-1,2-1 or Fo < F₁-a/2,n₁-1,n₂-1″What is the value of Fa/2,₁-1,2-1?(iii) What is the value of F₁-a/2,₁-1,2-1?(iv) What is the value of Fo?(v) Based on (ii)-(iv), your decision on H, would be:(vi) Which is true?: (v) means "The impurity variances before and after are:" (the same) or (not the same)?

Given Information: Before installation: Sample size n1=8 Sample mean x¯1=9.85 Sample variance…

A new purification unit is installed in a chemical process. Before its installation, a random sample yielded the following data about the percentage of impurity: x1 = 9.85 , S12 = 81.73 , and n1 = 8 . After installation, a random sample resulted in x2 = 8.08 , S2 = 78.46 , and n2 = 10 .

A new purification unit is installed in a chemical process. Before its installation, a random sample yielded the following data about the percentage of impurity: x1 = 9.85 , S12 = 81.73 , and n1 = 8 . After installation, a random sample resulted in x2 = 8.08 , S2 = 78.46 , and n2 = 10 .

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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