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.
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
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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
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