stream stream 5.2 3.2 Env. 6.6 The Department of Natural Resources (DNR) received a complaint from recreational fish- ermen that a community was releasing sewage into the river where they fished. These types of releases lower the level of dissolved oxygen in the river and hence cause damage to the fish resid- ing in the river. An inspector from the DNR designs a study to investigate the fishermen's claim. Fifteen water samples are selected at locations on the river upstream from the community and fifteen samples are selected downstream from the community. The dissolved oxygen readings in parts per million (ppm) are given in the following table. 4.8 5.1 3.4 3.7 5.0 3.9 4.9 4.8 5.0 4.7 4.7 5.0 4.6 3.9 3.6 4.1 3.3 4.5 3.6 3.8 5.2 3.7 4.9 4.7 3.7 5.0 3.8 3.9 a. In order for the discharge to have an impact on fish health, there needs to be at least an .5 ppm reduction in the dissolved oxygen. Do the data provide sufficient evidence that there is a large enough reduction in the mean dissolved oxygen be- tween the upstream and downstream water in the river to impact the health of the fish? Use a = .01. b. Do the required conditions to use the test in part (a) appear to be valid? c. What is the level of significance of the test in part (a)? d. Estimate the size of the difference in the mean dissolved oxygen readings for the two locations on the river using a 99% confidence interval.
stream stream 5.2 3.2 Env. 6.6 The Department of Natural Resources (DNR) received a complaint from recreational fish- ermen that a community was releasing sewage into the river where they fished. These types of releases lower the level of dissolved oxygen in the river and hence cause damage to the fish resid- ing in the river. An inspector from the DNR designs a study to investigate the fishermen's claim. Fifteen water samples are selected at locations on the river upstream from the community and fifteen samples are selected downstream from the community. The dissolved oxygen readings in parts per million (ppm) are given in the following table. 4.8 5.1 3.4 3.7 5.0 3.9 4.9 4.8 5.0 4.7 4.7 5.0 4.6 3.9 3.6 4.1 3.3 4.5 3.6 3.8 5.2 3.7 4.9 4.7 3.7 5.0 3.8 3.9 a. In order for the discharge to have an impact on fish health, there needs to be at least an .5 ppm reduction in the dissolved oxygen. Do the data provide sufficient evidence that there is a large enough reduction in the mean dissolved oxygen be- tween the upstream and downstream water in the river to impact the health of the fish? Use a = .01. b. Do the required conditions to use the test in part (a) appear to be valid? c. What is the level of significance of the test in part (a)? d. Estimate the size of the difference in the mean dissolved oxygen readings for the two locations on the river using a 99% confidence interval.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Transcribed Image Text:stream
stream
5.2
3.2
Env.
6.6 The Department of Natural Resources (DNR) received a complaint from recreational fish-
ermen that a community was releasing sewage into the river where they fished. These types of
releases lower the level of dissolved oxygen in the river and hence cause damage to the fish resid-
ing in the river. An inspector from the DNR designs a study to investigate the fishermen's claim.
Fifteen water samples are selected at locations on the river upstream from the community and
fifteen samples are selected downstream from the community. The dissolved oxygen readings in
parts per million (ppm) are given in the following table.
4.8
5.1
3.4 3.7
5.0
3.9
4.9 4.8 5.0 4.7 4.7 5.0 4.6
3.9 3.6 4.1 3.3 4.5
3.6
3.8
5.2
3.7
4.9 4.7
3.7
5.0
3.8
3.9
a. In order for the discharge to have an impact on fish health, there needs to be at
least an .5 ppm reduction in the dissolved oxygen. Do the data provide sufficient
evidence that there is a large enough reduction in the mean dissolved oxygen be-
tween the upstream and downstream water in the river to impact the health of the
fish? Use a = .01.
b. Do the required conditions to use the test in part (a) appear to be valid?
c. What is the level of significance of the test in part (a)?
d. Estimate the size of the difference in the mean dissolved oxygen readings for the
two locations on the river using a 99% confidence interval.
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