Acid Rainfall? A group of environmental scientistsexpectthatNew York state’s aci

Question

Acid Rainfall? A group of environmental scientistsexpectthatNew York state’s acid rainfall amountsareuniquewhen
compared to most other states because of New
York’s latitude and wind pattern. The averageamountofacid rainfall
(nationwide) is about 1.7 inches / year.
The scientists establish collection points in22differentlocations
around the state for one year. The
average amount of acid rainfall from the samples was 1.95incheswitha
standard deviation of 0.13 inches. Test
the claim that the average amountofacidrainfall in New York is different thanotherstates.
(use = 0.05 and either the 5-step method orthep-valuemethod). Acid Rainfall? A group of environmental scientistsexpectthatNew York state’s acid rainfall amountsareuniquewhen
compared to most other states because of New
York’s latitude and wind pattern. The averageamountofacid rainfall
(nationwide) is about 1.7 inches / year.
The scientists establish collection points in22differentlocations
around the state for one year. The
average amount of acid rainfall from the samples was 1.95incheswitha
standard deviation of 0.13 inches. Test
the claim that the average amountofacidrainfall in New York is different thanotherstates.
(use = 0.05 and either the 5-step method orthep-valuemethod).

Explanation / Answer

Given n=22, xbar=1.95, s=0.13 The test hypothesis is Ho:=1.7 Ha: not equal 1.7 The test statistic is t=(xbar-)/(s/n) =(1.95-1.7)/(0.13/sqrt(22)) =9.02 Given =0.05, |t(0.025,df=n-1=21)|=2.08 (check student ttable) The rejection region is t2.08. Since t=9.02>2.08, we reject Ho. So we conclude that the average amountof acid rainfall in New York is different thanother states.

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