Question

Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 5.45.4 parts/million (ppm). A researcher believes that the current ozone level is not at the normal level. The mean of 88 samples is 5.85.8 ppm with a standard deviation of 1.01.0. Does the data support the claim at the 0.10.1 level? Assume the population distribution is approximately normal.

Step 1 of 3:

State the null and alternative hypotheses.

Step 2 of 3:

Find the P-value for the hypothesis test. Round your answer to four decimal places.

Step 3 of 3:

Make the decision to reject or fail to reject the null hypothesis.

Answer 1

Solution:

Step 1 of 3:

This is a two tailed test.

The null and alternative hypothesis is,

Ho: 5.4

Ha: 5.4

Step 2 of 3:

The test statistics,

t =( - )/ (s /n)

= ( 5.8 - 5.4 ) / ( 1.0 / 88 )

= 3.752

P-value = 0.0003

Step 3 of 3:

Since, P-value < 0.10, Reject the null hypothesis.