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. Find a 95% confidence interval for the difference in the true average orthophosphorus contents at these two stations, assuming that the observations came from normal populations with different variances.
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. Find a 95% confidence interval for the difference in the true average orthophosphorus contents at these two stations, assuming that the observations came from normal populations with different variances.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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. Find a 95% confidence interval for the
difference in the true average orthophosphorus contents at these
two stations, assuming that the observations came from normal
populations with different variances.
0.600 <H₂
-
M₁4.1006
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