58LEM 2 (15)nts ton). A medical manufacturer is evaluating a new epoxy hardener to replace the current ardener used in its production processes. The new hardener is manufactured by a slightly different process, so it needs be tested and compared to the current one. If no statistical difference in the means between the two processes is stablished, the new hardener will be accepted for production use. The first test being run in the study is a measurement of equilibrium moisture content. For each type of hardener, 40 different samples were measured for moisture content (in weight %) and were both determined to be approximately normally distributed. a) State a suitable null and alternative hypothesis for this situation. b) Compute the test statistic for your null hypothesis. c) Compute (or place a bound) on the p-value for your test outcome.

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
Question
100%
ROBLEM 2 (15)ints total). A medical manufacturer is evaluating a new epoxy hardener to replace the current
ardener used in its production processes. The new hardener is manufactured by a slightly different process, so it needs
be tested and compared to the current one. If no statistical difference in the means between the two processes is
stablished, the new hardener will be accepted for production use. The first test being run in the study is a
measurement of equilibrium moisture content. For each type of hardener, 40 different samples were measured for
noisture content (in weight %) and were both determined to be approximately normally distributed.
a) State a suitable null and alternative hypothesis for this situation.
b) Compute the test statistic for your null hypothesis.
by coating the surface of
da
c) Compute (or place a bound) on the p-value for your test outcome.
d) Based on the p-value, what conclusion do you draw regarding the null hypothesis? Is there sufficient evidence
that demonstrates that the mean moisture content is statistically significantly different between the two
production processes at the a=0.05 level of significance?
Statistics
Variable N Mean StDev Minimum
Current 40 0.555 0.048
New
40 0.583 0.049
Q1 Median Q3 Maximum
0.554 0.583
0.585 0.623
0477 0.512
0462 0.544
0.667
0.678
Transcribed Image Text:ROBLEM 2 (15)ints total). A medical manufacturer is evaluating a new epoxy hardener to replace the current ardener used in its production processes. The new hardener is manufactured by a slightly different process, so it needs be tested and compared to the current one. If no statistical difference in the means between the two processes is stablished, the new hardener will be accepted for production use. The first test being run in the study is a measurement of equilibrium moisture content. For each type of hardener, 40 different samples were measured for noisture content (in weight %) and were both determined to be approximately normally distributed. a) State a suitable null and alternative hypothesis for this situation. b) Compute the test statistic for your null hypothesis. by coating the surface of da c) Compute (or place a bound) on the p-value for your test outcome. d) Based on the p-value, what conclusion do you draw regarding the null hypothesis? Is there sufficient evidence that demonstrates that the mean moisture content is statistically significantly different between the two production processes at the a=0.05 level of significance? Statistics Variable N Mean StDev Minimum Current 40 0.555 0.048 New 40 0.583 0.049 Q1 Median Q3 Maximum 0.554 0.583 0.585 0.623 0477 0.512 0462 0.544 0.667 0.678
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE 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