Our environment is very sensitive to the amount of ozone in the upper atmosphere

Question

Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.5 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 980 samples is 4.6 ppm. Assume the variance is known to be 1.44 . Does the data support the claim at the 0.05 level? Step 4 of 5 : Enter the decision rule.                                 Reject H0 if z> ____________            (fill in the missing value for the decision rule)

Explanation / Answer

pop.Level = 4.5 ppm

n = 980

sample Level = 4.6

Var = 1.44

Therefore, stdev = 1.2 ppm

Z = (4.6-4.5)/(1.2/sqrt(980)) = 2.61

So, reject Ho if Z> 1.645

By the way since Z=2.61>Zcritical = 1.645, we reject the null hypothesis that Current ozone level is not at access.

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