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

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...
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7. 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 7.27.5 5.2 6.5 7.7 10 6.47.6 7.77.8
Vitamin Y 4.8 4.44.5 5.1 6.5 8.03.1 4.6 5.2 6.1
(a) Draw a box-and-whisker plot for both sets of data on the
same number line.
(b) Use the double box-and-whisker plots to compare the 2
vitamins and provide a conclusion for the drug company.
(e) State the skewness of both distributions and justify your
answer.
Transcribed Image Text:7. 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 7.27.5 5.2 6.5 7.7 10 6.47.6 7.77.8 Vitamin Y 4.8 4.44.5 5.1 6.5 8.03.1 4.6 5.2 6.1 (a) Draw a box-and-whisker plot for both sets of data on the same number line. (b) Use the double box-and-whisker plots to compare the 2 vitamins and provide a conclusion for the drug company. (e) State the skewness of both distributions and justify your answer.
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