The distribution of vehicles sales in the United States in the year 2000 was the following: Type of car: % Small: 36.8, Midsize: 40.8, Large:19.4, Luxury: 3.0 A simple random sample of 500 vehicles sales was taken this year and the distribution is as follow: Type of car: % Small: 180, Midsize: 210, Large: 95, Luxury: 15 At the 5% significant level, do the data provides sufficient evidence to conclude that the distribution of vehicle sales this year has changed from the 2000 distribution? c) Test statistics d) Critical value e) Conclusion
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.
The distribution of vehicles sales in the United States in the year 2000 was the following:
Type of car: %
Small: 36.8, Midsize: 40.8, Large:19.4, Luxury: 3.0
A simple random sample of 500 vehicles sales was taken this year and the distribution is as follow:
Type of car: %
Small: 180, Midsize: 210, Large: 95, Luxury: 15
At the 5% significant level, do the data provides sufficient evidence to conclude that the distribution of vehicle sales this year has changed from the 2000 distribution?
c) Test statistics
d) Critical value
e) Conclusion
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