The following table shows the average monthly distance traveled (in billion miles) by vehicles on urban highways for five different years. Urban Highways - Average Monthly Distance Traveled by Vehicles (Billion Miles) Years Jan Feb Mar Apr May Jun July Aug Sep Oct Nov Dec Year 1 4.22 5.32 5.21 5.12 4.92 4.49 4.55 4.49 4.44 4.39 4.37 4.35 Year 2 4.31 5.44 5.34 5.24 4.98 4.59 4.68 4.65 4.61 4.68 4.74 4.79 Year 3 4.38 5.51 5.41 5.36 4.98 4.63 4.71 4.78 4.82 4.88 4.85 4.89 Year 4 4.45 5.59 5.5 5.41 5.01 4.72 4.78 4.79 4.82 4.92 5.06 5.11 Year 5 4.51 5.65 5.62 5.49 5.12 4.8 4.88 4.82 4.95 5.12 5.22 5.44 a. Construct a time series plot. What type of pattern exists in the data?
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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Urban Highways - Average Monthly Distance Traveled by Vehicles (Billion Miles) |
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| Years | Jan | Feb | Mar | Apr | May | Jun | July | Aug | Sep | Oct | Nov | Dec |
| Year 1 |
4.22 |
5.32 |
5.21 |
5.12 |
4.92 |
4.49 |
4.55 |
4.49 |
4.44 |
4.39 |
4.37 |
4.35 |
| Year 2 |
4.31 |
5.44 |
5.34 |
5.24 |
4.98 |
4.59 |
4.68 |
4.65 |
4.61 |
4.68 |
4.74 |
4.79 |
| Year 3 |
4.38 |
5.51 |
5.41 |
5.36 |
4.98 |
4.63 |
4.71 |
4.78 |
4.82 |
4.88 |
4.85 |
4.89 |
| Year 4 |
4.45 |
5.59 |
5.5 |
5.41 |
5.01 |
4.72 |
4.78 |
4.79 |
4.82 |
4.92 |
5.06 |
5.11 |
| Year 5 |
4.51 |
5.65 |
5.62 |
5.49 |
5.12 |
4.8 |
4.88 |
4.82 |
4.95 |
5.12 |
5.22 |
5.44 |
a. Construct a time series plot. What type of pattern exists in the data?
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