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The graph below shows the boxplot of calcium excretion (in mg) of the 8 women who drank diet cola and the 8 women who drank
The graph below shows the boxplot of calcium excretion (in mg) of the 8 women who drank diet cola and the 8 women who drank water. a) Compare the shape of the two datasets. The shape of the water is skewed to the right. The shape of the diet coke is skewed to the left. b) Compare the center of the two datasets. Be sure to include appropriate estimated measure(s) of center from the graph and interpret the center in context. The median of the water is 48 and the median of the diet coke is 57. The median of the diet coke is higher than the median of the water. This indicates the amount of calcium in the dataset is higher on the diet coke compared to the water. c) Compare the spread of the two datasets. Be sure to include appropriate estimated measure(s) of spread from the graph and interpret the spread in context. IQR (water) = 53-46 =7 IQR (diet coke) = 60.25 -51.25 = 9 The IQR for the diet coke is 9 higher than the IQR for the water is 7. This indicates that 50% of the calcium excretion (in mg) have diet coke between 51.25 to 60.25 mg whereas 50% of the calcium excretion (in mg) have water between 45 to 54 mg. d) Based on the boxplot, is there an association between the explanatory variable and the response variable? Explain your thinking
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