A photoconductor film is manufactured at a nominal thickness of 0.65 mm. The product engineer wishes to increase the mean speed of the film and believes that this can be achieved by reducing the thickness of the film to 0.5 mm. Eight samples of each film thickness are manufactured in a pilot production process, and the film speed (in microjoules per square cm) is measured. For the 0.65mm film, the sample data result is X, =0.03 and sl = 0.0028, and for the 0.5 mm film the data yield X, = 0.028 and s2 0.0023. Note that an increase in film speed would lower the value of the observation in microjoules per square cm. a) Test Ho: o1 =02 versus H1:01 #02 using a = 0.02. %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
icon
Related questions
Topic Video
Question
Q
A photoconductor film is manufactured at a nominal thickness of 0.65 mm. The product engineer
wishes to increase the mean speed of the film and believes that this can be achieved by reducing
the thickness of the film to 0.5 mm. Eight samples of each film thickness are manufactured in a
pilot production process, and the film speed (in microjoules per square cm) is measured. For the
0.65mm film, the sample data result is X,=0.03 and sl = 0.0028, and for the 0.5 mm film the
data yield X, 0.028 and s2 0.0023. Note that an increase in film speed would lower the value
of the observation in microjoules per square cm.
(a) Test Ho: O1 =02 versus H1: 0 02 using a = 0.02.
(b) Suppose that one population standard deviation is 50% larger than the other. Is the sample
size n1 = n2 = 8 adequate to detect this difference with high probability? Use a = 0.01 in
answering this question.
!3!
Transcribed Image Text:A photoconductor film is manufactured at a nominal thickness of 0.65 mm. The product engineer wishes to increase the mean speed of the film and believes that this can be achieved by reducing the thickness of the film to 0.5 mm. Eight samples of each film thickness are manufactured in a pilot production process, and the film speed (in microjoules per square cm) is measured. For the 0.65mm film, the sample data result is X,=0.03 and sl = 0.0028, and for the 0.5 mm film the data yield X, 0.028 and s2 0.0023. Note that an increase in film speed would lower the value of the observation in microjoules per square cm. (a) Test Ho: O1 =02 versus H1: 0 02 using a = 0.02. (b) Suppose that one population standard deviation is 50% larger than the other. Is the sample size n1 = n2 = 8 adequate to detect this difference with high probability? Use a = 0.01 in answering this question. !3!
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Propositional Calculus
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill