The carbon dioxide emissions of a group of nations had a mean of 9.2 and standard deviation of 1.8. a. One country's observation was 15.9. Find its z-score and interpret. b. Another country's observation was 2.6. Find its z-score and interpret. c. A third country's observation was 8.7. Find its z-score and interpret. a. The z-score is 3.73.7. This indicates that the observation of 15.9 is a distance of 3.73.7 standard deviation(s) above the mean. (Round to two decimal places as needed.)
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.
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a.
|
One country's observation was
15.9.
Find its z-score and interpret. |
|
b.
|
Another country's observation was
2.6.
Find its z-score and interpret. |
|
c.
|
A third country's observation was
8.7.
Find its z-score and interpret. |
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