Comparing data characteristics to theoretical properties.The file Property Taxes contains the property taxes per capita for the 50 states and the District of Columbia. Decide whether the data appear to be approximately normally distributed.
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- Perform an initial visual inspection of the data to look for any obvious outliers or skewness that might indicate a non-normal distribution. Show more…
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The file "Property Taxes" contains the property taxes per capita for the 50 states and the District of Columbia. Decide whether the data appear to be approximately normally distributed by: a. Comparing data characteristics to theoretical properties. b. Constructing a normal probability plot.
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Data at this text's website show the gas taxes for each of the 50 states and the District of Columbia. A summary of the data is shown in the following table. Should the maximum and minimum values of this data set be considered potential outliers? Why or why not? You can check your answer by using technology to make a boxplot using fences to identify potential outliers. (Source: 2017 World Almanac and Book of Facts) $$ \begin{aligned} &\text { Summary statistics }\\ &\begin{array}{lcclllll} \text { Column } & \mathbf{n} & \text { Std. dev. } & \text { Median } & \text { Min } & \text { Max } & \text { Q1 } & \text { Q3 } \\ \hline \begin{array}{l} \text { Gas Taxes } \\ \text { (ct/gal) } \end{array} & 51 & 8.1011009 & 46.4 & 30.7 & 68.7 & 40.2 & 51 \\ \hline \end{array} \end{aligned} $$
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