Draw a box-and-whisker plot for both sets of data on the same number line. Use the double box-and-whisker plots to compare the 2 vitamins and provide a conclusion for the drug company. State the skewness of both distributions and justify your answer.

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A new drug study was conducted by a drug company. In the study, 10 people were chosen at random to take Vitamin X for 3 months and then have their cholesterol levels checked. In addition, 10 different people were randomly chosen to take Vitamin Y for 3 months and then have their cholesterol levels checked. All 20 people had cholesterol levels between 8 and 10 before taking one of the vitamins. The drug company wanted to see which of the 2 vitamins had the greatest impact on lowering people’s cholesterol. The following data was collected:

Vitamin X
7.2
7.5
5.2
6.5
7.7
10
6.4
7.6
7.7
7.8

Vitamin Y
4.8
4.4
4.5
5.1
6.5
8.0
3.1
4.6
5.2
6.1


Draw a box-and-whisker plot for both sets of data on the same number line.
Use the double box-and-whisker plots to compare the 2 vitamins and provide a conclusion for the drug company.
State the skewness of both distributions and justify your answer.

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