The minister of environment in a certain country decided to investigate whether expansion of a aluminum plant in that country would affect fluoride pollution in it's environment. The productions occurred the years 2005 and 2006. One of the things measured was the amount of fluoride in lamb jaws. The data available are measurements of fluoride in the jaws of 8 lambs that were slaughtered in the year 2004 and 8 lambs that were slaughtered in the year 2007. The data is shown below, along with a R output that can simplify your calculations. Fluoride amount 2004 (ug/g) | Fluoride amount 2007 (ug/g) 131.37 655.09 252.74 541.37 81.29 564.58 225.55 617.97 222.44 472.54 68.29 606.62 227.55 500.80 111.86 394.67 > fs2004<-c(131.37,252.74,81.29,225.55,222.44,68.29,227.55,111.86) > fs2007<-c(655.09,541.37,564.58,617.97,472.54,606.62,500.80,394.67) > mean (fs2004) [1] 165.1363 > mean(fs2007) [1] 544.205 > var (fs2004) [1] 5555.906 > var (fs2007) [1] 7348.022 > d<-fs2007-fs2004 > mean (d) [1] 379.0688 > var (d) [1] 14657.70

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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The minister of environment in a certain country decided to investigate whether
expansion of a aluminum plant in that country would affect fluoride pollution in
it's environment. The productions occurred the years 2005 and 2006. One of the
things measured was the amount of fluoride in lamb jaws. The data available
are measurements of fluoride in the jaws of 8 lambs that were slaughtered in
the year 2004 and 8 lambs that were slaughtered in the year 2007. The data is
shown below, along with a R output that can simplify your calculations.
Fluoride amount 2004 (ug/g) | Fluoride amount 2007 (ug/g)
131.37
655.09
252.74
541.37
81.29
564.58
225.55
617.97
222.44
472.54
68.29
606.62
227.55
500.80
111.86
394.67
> fs2004<-c (131.37,252.74,81.29,225.55,222.44,68.29,227.55,111.86)
> fs2007<-c(655.09,541.37,564.58,617.97,472.54,606.62,500.80,394.67)
> mean (fs2004)
[1] 165.1363
> mean (fs2007)
[1] 544.205
> var (fs2004)
[1] 5555.906
> var (fs2007)
[1] 7348.022
> d<-fs2007-fs2004
> mean (d)
[1] 379.0688
> var (d)
[1] 14657.70
Transcribed Image Text:The minister of environment in a certain country decided to investigate whether expansion of a aluminum plant in that country would affect fluoride pollution in it's environment. The productions occurred the years 2005 and 2006. One of the things measured was the amount of fluoride in lamb jaws. The data available are measurements of fluoride in the jaws of 8 lambs that were slaughtered in the year 2004 and 8 lambs that were slaughtered in the year 2007. The data is shown below, along with a R output that can simplify your calculations. Fluoride amount 2004 (ug/g) | Fluoride amount 2007 (ug/g) 131.37 655.09 252.74 541.37 81.29 564.58 225.55 617.97 222.44 472.54 68.29 606.62 227.55 500.80 111.86 394.67 > fs2004<-c (131.37,252.74,81.29,225.55,222.44,68.29,227.55,111.86) > fs2007<-c(655.09,541.37,564.58,617.97,472.54,606.62,500.80,394.67) > mean (fs2004) [1] 165.1363 > mean (fs2007) [1] 544.205 > var (fs2004) [1] 5555.906 > var (fs2007) [1] 7348.022 > d<-fs2007-fs2004 > mean (d) [1] 379.0688 > var (d) [1] 14657.70
a) 20%
Test the hypothesis that the amount of fluoride in lamb jaws has on average
increased from 2004 to 2007. You can assume that the amount of fluoride in
lamb jaws is normally distributed.
b) 3%
Can these results be used to claim that the aluminum plant enlargement has
affected the average amount of fluoride in lamb jaws?
Exercise 3 is on next page
Transcribed Image Text:a) 20% Test the hypothesis that the amount of fluoride in lamb jaws has on average increased from 2004 to 2007. You can assume that the amount of fluoride in lamb jaws is normally distributed. b) 3% Can these results be used to claim that the aluminum plant enlargement has affected the average amount of fluoride in lamb jaws? Exercise 3 is on next page
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