Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 5.7 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 10 samples is 6.1 ppm with a variance of 0.25. Does the data support the claim at the 0.01 level? Assume the population distribution is approximately normal.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 5.7 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 10 samples is 6.1 ppm with a variance of 0.25.
Does the data support the claim at the 0.01 level? Assume the population distribution is approximately normal.
Find the value of the test statistic. Round your answer to three decimal places.
Specify if the test is one-tailed or two-tailed.
Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Make the decision to reject or fail to reject the null hypothesis.
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