Question

Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.7 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 26 samples is 5.0 ppm with a standard deviation of 0.9. Does the data support the claim at the 0.05 level? Assume the population distribution is approximately normal. Step 5 of 5: Make the decision to reject or fail to reject the null hypothesis.

Answer 1

Solution :

The null and alternative hypothesis is ,

H0 :   = 4.7

Ha : > 4.7

Test statistic (t) =

= ( - ) / s / n

= (5 - 4.7) / 0.9 / 26

Test statistic = 1.700

P-value = 0.0508

= 0.05

P-value >

Fail to reject the null hypothesis .

There is no sufficient evidence to support the claim.