2. 0 * 18 points MIntroStat8 12.E·045. My Notes Ask Your Teacher Kudzu is a plan
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2. 0 * 18 points MIntroStat8 12.E·045. My Notes Ask Your Teacher Kudzu is a plant that was imported to the United States from Japan and now covers over seven million acres in the South. The plant contains chemicals called isoflavones that have been shown to have beneficial effects on bones. One study used three groups of rats to compare a control group with rats that were fed either a low dose or a high dose of isoflavones from kudzu. One of the outcomes examined was the bone mineral density in the femur (in grams per square centimeter). Here are the data Treatment Bone Mineral Density (g/cm2) Control 0.226 0.207 0.234 0.220 0.217 0.228 0.209 0.221 0.204 0.220 0.203 0.219 0.218 0.245 0.210 Low Dose 0.214 0.220 0.211 0.233 0.219 0.233 0.226 0.228 0.216 0.225 0.200 0.208 0.198 0.208 0.203 High Dose 0.254 0.237 0.217 0.206 0.247 0.228 0.245 0.232 0.267 0.261 0.221 0.219 0.232 0.209 0.255 (a) Use numerical methods to describe the data. (Round your answers to four decimal places.) Treatment Control Low Dose High DoseExplanation / Answer
a)
Descriptive Statistics: Control, Low Dose, High Dose
Variable Count Mean StDev
Control 15 0.21873 0.01149
Low Dose 15 0.21613 0.01144
High Dose 15 0.23533 0.01903
c) F= 7.81
DFG = 2
DFE = 42
P-value 0.001
Correct answer Option (E) P<0.001
The difference in means significant at 5%
d) Answer: 2.4937 * Sqrt(MSE/n) = 2.4937 * Sqrt(0.000208/15) = 0.1393
Difference
Difference of Levels of Means
Low Dose - Control -0.00260
High Dose - Control 0.01660
High Dose - Low Dose 0.01920
Correct Answer: Correct Answer: Option (E)
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