A study was conducted by the Department of Zoology at the Virginia Tech to estimate the difference in the amounts of the chemical orthophosphorus measured at two different stations on the James River. Orthophosphorus was measured in milligrams per liter. Fifteen samples were collected from station 1, and 12 samples were obtained from station 2. The 15 samples from station 1 had an average orthophosphorus content of 3.84 milligrams per liter and a standard deviation of 3.07 milligrams per liter, while the 12 samples from station 2 had an average content of 1.49 milligrams per liter and a standard deviation of 0.80 milligram per liter. Test the hypothesis that true average orthophosphorus contents at these two stations are equal using 0.02 level of significance

Algebra: Structure And Method, Book 1
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ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.6: Solving Problems Involving Quadratic Equations
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A study was conducted by the Department of Zoology at the Virginia Tech to
estimate the difference in the amounts of the chemical orthophosphorus
measured at two different stations on the James River. Orthophosphorus was
measured in milligrams per liter. Fifteen samples were collected from station 1,
and 12 samples were obtained from station 2. The 15 samples from station 1
had an average orthophosphorus content of 3.84 milligrams per liter and a
standard deviation of 3.07 milligrams per liter, while the 12 samples from station
2 had an average content of 1.49 milligrams per liter and a standard deviation of
0.80 milligram per liter. Test the hypothesis that true average orthophosphorus
contents at these two stations are equal using 0.02 level of significance,
assuming that the observations came from normal populations with different
variances.
The average orthophosphorus contents at these two stations are different.
Transcribed Image Text:A study was conducted by the Department of Zoology at the Virginia Tech to estimate the difference in the amounts of the chemical orthophosphorus measured at two different stations on the James River. Orthophosphorus was measured in milligrams per liter. Fifteen samples were collected from station 1, and 12 samples were obtained from station 2. The 15 samples from station 1 had an average orthophosphorus content of 3.84 milligrams per liter and a standard deviation of 3.07 milligrams per liter, while the 12 samples from station 2 had an average content of 1.49 milligrams per liter and a standard deviation of 0.80 milligram per liter. Test the hypothesis that true average orthophosphorus contents at these two stations are equal using 0.02 level of significance, assuming that the observations came from normal populations with different variances. The average orthophosphorus contents at these two stations are different.
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