Intro Stats, Books a la Carte Edition (5th Edition)
5th Edition
ISBN: 9780134210285
Author: Richard D. De Veaux, Paul Velleman, David E. Bock
Publisher: PEARSON
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Textbook Question
Chapter 2, Problem 77E
Acid rain Two researchers measured the pH (a scale on which a value of 7 is neutral and values below 7 are acidic) of water collected from rain and snow over a 6-month period in Allegheny County, Pennsylvania:
4.57 5.62 4.12 5.29 4.64 4.31 4.30 4.39 4.45
5.67 4.39 4.52 4.26 4.26 4.40 5.78 4.73 4.56 5.08
4.41 4.12 5.51 4.82 4.63 4.29 4.60
- a) Describe their data with a graph and a few sentences.
- b) Open the data file to find the dates. Consider the dates corresponding to the least acidic (highest pH) days. Do they have anything in common? (You may need to consult a calendar.)
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Trace metals in drinking water affect the flavor and an unusually high concentration can pose a
health hazard. Ten pairs of data were taken measuring zinc concentration in bottom water and
surface water.
Bottom 0.430 0.266 0.567 0.531 0.707 0.716 0.651 0.589 0.469 0.723
Surface 0.415 0.238 0.390 0.410 0.605 0.609 0.632 0.523 0.411 0.612
Does the data suggest that the true average concentration in the bottom water is different
than that of surface water?
Note: You can assume that the conditions for inference are met.
Trace metals in drinking water affect the flavor and an unusually high concentration can pose a
health hazard. Ten pairs of data were taken measuring zinc concentration in bottom water and
surface water.
Bottom 0.430 0.266 0.567 0.531 0.707 0.716 0.651 0.589 0.469 0.723
Surface 0.415 0.238 0.390 0.410 0.605 0.609 0.632 0.523 0.411 0.612
With the help of Mathematics and R Studio: Does the data suggest that the true average
concentration in the bottom water is different than that of surface water? You can assume
that the conditions for inference are met.
Trace metals in drinking water affect the flavor and an unusually high concentration can pose a health hazard. Ten pairs of data were taken measuring zinc concentration in bottom water and surface water of a water source.
Location
Zinc concentration in bottom water
Zinc concentration in surface water
1
.430
.415
2
.266
.238
3
.567
.390
4
.531
.410
5
.707
.605
6
.716
.609
7
.651
.632
8
.589
.523
9
.469
.411
10
.723
.612
Do the data support that the zinc concentration is less on the surface than the bottom of the water source, at the α=0.1α=0.1 level of significance? Note: A normal probability plot of difference in zinc concentration between the bottom and surface of water indicates the population could be normal and a boxplot indicated no outliers.
What is the significance level?α=___________
What is the test statistic? Round to 3 decimal places.T or Z =_____________
What is the p -value? Round to 4 decimal places.p=_____________
Chapter 2 Solutions
Intro Stats, Books a la Carte Edition (5th Edition)
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