In the study described in the paper, "Exposure to Diesel Exhaust Induces Changes in EEG in Human Volunteers," 10 healthy mean were exposed to diesel exhaust for 1 hour. A measure of brain activity (called median power frequency, or MPF in Hz) was recorded at the same location in the brain both before and after the diesel exhaust exposure. The resulting data are given in the accompanying table. For purposes of this exercise, assume that the sample of 10 men is representative of healthy adult males. Subject 1 2 3 4 5 6 7 8 9 10 MPF Before (in HZ) 6.4 8.7 7.4 8.7 9.8 8.9 9.3 7.4 6.6 8.9 MPF After (in HZ) 8.0 12.6 8.4 9.0 8.4 11.0 14.4 11.3 7.1 11.2 Difference Construct and interpret a 90% confidence interval estimate for the difference in mean MPF before and after exposure to diesel exhaust.
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.
In the study described in the paper, "Exposure to Diesel Exhaust Induces Changes in EEG in Human Volunteers," 10 healthy mean were exposed to diesel exhaust for 1 hour. A measure of brain activity (called median power frequency, or MPF in Hz) was recorded at the same location in the brain both before and after the diesel exhaust exposure. The resulting data are given in the accompanying table. For purposes of this exercise, assume that the sample of 10 men is representative of healthy adult males.
Subject 1 2 3 4 5 6 7 8 9 10
MPF Before (in HZ) 6.4 8.7 7.4 8.7 9.8 8.9 9.3 7.4 6.6 8.9
MPF After (in HZ) 8.0 12.6 8.4 9.0 8.4 11.0 14.4 11.3 7.1 11.2
Difference
Construct and interpret a 90% confidence
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