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| Teaching Since: | May 2017 |
| Last Sign in: | 398 Weeks Ago, 2 Days Ago |
| Questions Answered: | 66690 |
| Tutorials Posted: | 66688 |
MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
5.16 In a study conducted by the Zoology department at Virginia Tech, fifteen samples of water were collected from a certain station in the James River in order to gain some insight regarding the amount of orthophos- phorus in the river. The concentration of the chemical is measured in milligrams per liter. Let us suppose that the mean at the station is not as important as the upper extreme of the distribution of the concentration of the chemical at the station. Concern centers around whether the concentration at the extreme is too large. Readings for the fifteen water samples gave a sample mean of 3.84 milligrams per liter and a sample stan- dard deviation of 3.07 milligrams per liter. Assume
that the readings are a random sample from a nor- mal distribution. Calculate a prediction interval (up- per 95% prediction limit) and a tolerance limit (95% upper tolerance limit that exceeds 95% of the popula- tion of values). Interpret both; that is, tell what each communicates about the upper extreme of the distri- bution of orthophosphorus at the sampling station.
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