Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 6.5 parts/million (ppm). A researcher believes that the current ozone level is not at a normal level. The mean of 13 samples is 6.9 ppm with a standard deviation of 0.7. Assume the population is normally distributed. A level of significance of 0.02 will be used. Find the value of the test statistic. Round your answer to three decimal places.
To test against
Here
sample mean
sample standard deviation
and sample size
The test statistic can be written as
which under H0 follows a t distribution with df = n -1.
Now,
The value of the test statistic =
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