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freezo1994 freezo1994
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2 weeks ago
Use the following to answer the questions below:

An environmental studies student working on an independent research project was investigating metal contamination in the St. Lawrence River. The metals can accumulate in organisms that live in the river (known as bioaccumulation). He collected samples of Quagga mussels at three sites in the St. Lawrence River and measured the concentration of copper (in micrograms per gram, μg/g or mcg/g) in the mussels. His data are summarized in the provided table and plot. He wants to know if there are any significant differences in mean copper concentration among the three sites.

SiteCopper Concentration (μg/ g)    n           Three side-by-side vertical boxplots depict the results of copper concentration for three sites. The horizontal axis is labeled, Site and has markings from 1 to 3 in increments of 1. The vertical axis is labeled, Copper Concentration (microgram per gram) and has markings from 5 to 25 in increments of 5. For 1, the whiskers of the boxplot range from 17 to 25 and the box ranges from 18 to 24 with a median at 21. For 2, the whiskers of the boxplot range from 13 to 18 and the box ranges from 14 to 18 with a median at 17. For 3, the whiskers of the boxplot range from 7 to 18 and the box ranges from 9 to 17 with a median at 14. All values are approximate.             s
1
2
3
  19.9       23.4       17.5       25.4       20.5
   13.0       18.8       18.4       16.1
   18.4       13.8         7.0       11.4       15.2
   5        21.34     3.092
    4        16.60     2.687
    5        13.16     4.274
Overall   14       17.06     4.82





Use the summary information and results from the ANOVA to construct 95% confidence intervals for the differences in each pair of means:

(a) Site 1 and Site 2
(b) Site 1 and Site 3
(c) Site 2 and Site 3

In each case, round the margin of error to two decimal places. Based on your work, which sites have significantly different means? Briefly justify your answer.
Textbook 
Statistics: Unlocking the Power of Data

Statistics: Unlocking the Power of Data


Edition: 3rd
Authors:
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rectorrector
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