Let μ1 represent the mean emission at 40°F and =μd−μ1μ2. Can you conclude that the mean emission differs between the two temperatures? Use the =α0.01 level of significance and the TI-84 Plus calculator to answer the following.
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.
Truck pollution: In an experiment to determine the effect of ambient temperature on the emissons of oxides of nitrogen (NOx) of diesel trucks, 10trucks were run at temperatures of 40°F and 80°F. The emissions, in parts per billion, are presented in the following table.
| Truck |
40°F
|
80°F
|
|
1
|
905.6
|
892.6
|
|
2
|
772.0
|
792.0
|
|
3
|
937.0
|
914.2
|
|
4
|
968.8
|
872.8
|
|
5
|
836.5
|
821.6
|
|
6
|
884.5
|
856.4
|
|
7
|
948.9
|
850.2
|
|
8
|
810.6
|
753.5
|
|
9
|
766.7
|
800.0
|
|
10
|
869.8
|
830.5
|
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