A tax collector wishes to see if the mean values of the tax-exempt properties are different for two cities. The values of the tax-exempt properties for the two samples are shown below. The data are given in millions of GH¢. Use the information in the table to solve questions 5a and 5b. City A : 4, 4, 3,5, 8, 7, 6, 7, 6, 3 City B : 1, 5, 4, 6, 7, 5, 2, 8, 5, 2 Required: Assuming City A values are the expected values and City B values are the observed values, is there any difference between the observed and the expected values at 0.05 level of significance?
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.
A tax collector wishes to see if the
cities. The values of the tax-exempt properties for the two samples are shown below. The data are
given in millions of GH¢. Use the information in the table to solve questions 5a and 5b.
| City A : | 4, 4, 3,5, 8, 7, 6, 7, 6, 3 |
| City B : | 1, 5, 4, 6, 7, 5, 2, 8, 5, 2 |
Required:
Assuming City A values are the
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