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| Teaching Since: | May 2017 |
| Last Sign in: | 408 Weeks Ago |
| Questions Answered: | 66690 |
| Tutorials Posted: | 66688 |
MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
5.72 A manufacturer turns out a product item that is labeled either “defective” or “not defective.” In order to estimate the proportion defective, a random sam- ple of 100 items is taken from production, and 10 are found to be defective. Following implementation of a quality improvement program, the experiment is con- ducted again. A new sample of 100 is taken, and this time only 6 are found to be defective.
x¯1 = $102,300
x¯2 = $98,500
(a) Give a 95% confidence interval on p1 − p2, where
s1 = $5700 s2 = $3800
(a) Construct a 99% confidence interval for μ1 − μ2, the difference in the mean salaries.
(b) What assumption did you make in (a) about the distribution of annual salaries for the two regions? Is the assumption of normality necessary? Why or why not?
(c) What assumption did you make about the two vari- ances? Is the assumption of equality of variances reasonable? Explain!
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