11. As part of a quality control program for a catalyst manufacturing line, the raw materials (alumina and binder) from each shipment are tested for purity. The process requires that the average (mean) purity of the alumina be greater than 85%. If the mean purity of alumina is greater than 85% the shipment is accepted. A random sample from a recent shipment of alumina yielded the following results (in percent). Assume the normality condition is satisfied. 93.2 87.0 92.1 90.1 87.3 93.6 Note: i = 90.55, s = 2.902 Construct a 99% confidence interval for the mean purity of alumina. b. а. Interpret your interval in context. Using the Rejection Region approach, conduct a hypothesis test at a = .05 to determine whether the shipment should be accepted as follows: с. i. ii. State the appropriate null and alternative hypotheses. Compute the appropriate test statistic. Draw a diagram showing the critical values, rejection region, and test statistic. State your conclusion in context. iii. iv.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
11. As part of a quality control program for a catalyst manufacturing line, the raw materials (alumina and binder) from each shipment are tested for
purity. The process requires that the average (mean) purity of the alumina be greater than 85%. If the mean purity of alumina is greater than 85% the
shipment is accepted. A random sample from a recent shipment of alumina yielded the following results (in percent). Assume the normality condition
is satisfied.
93.2 87.0 92.1 90.1 87.3 93.6
Note: * = 90.55,s = 2.902
Construct a 99% confidence interval for the mean purity of alumina.
b.
а.
Interpret your interval in context.
Using the Rejection Region approach, conduct a hypothesis test at a = .05 to determine whether the shipment should be accepted as
follows:
c.
i.
State the appropriate null and alternative hypotheses.
Compute the appropriate test statistic.
Draw a diagram showing the critical values, rejection region, and test statistic.
State your conclusion in context.
ii.
iii.
iv.
Transcribed Image Text:11. As part of a quality control program for a catalyst manufacturing line, the raw materials (alumina and binder) from each shipment are tested for purity. The process requires that the average (mean) purity of the alumina be greater than 85%. If the mean purity of alumina is greater than 85% the shipment is accepted. A random sample from a recent shipment of alumina yielded the following results (in percent). Assume the normality condition is satisfied. 93.2 87.0 92.1 90.1 87.3 93.6 Note: * = 90.55,s = 2.902 Construct a 99% confidence interval for the mean purity of alumina. b. а. Interpret your interval in context. Using the Rejection Region approach, conduct a hypothesis test at a = .05 to determine whether the shipment should be accepted as follows: c. i. State the appropriate null and alternative hypotheses. Compute the appropriate test statistic. Draw a diagram showing the critical values, rejection region, and test statistic. State your conclusion in context. ii. iii. iv.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
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
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman