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Project 11 KEY - Project 11 chapter 11 Name ID 20 points...

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Project 11 chapter 11 20 points KEY Name____________ ID# _______________ A.) A study is conducted to investigate the effect of physical exercise on the serum cholesterol level of the individual. It is thought that regular exercise will reduce the level of cholesterol in the blood. Blood samples are taken on 11 individuals before and after training. The results are: Subject Pre-training Post-training cholesterol level cholesterol level 1 182 198 2 232 210 3 191 194 4 200 220 5 148 138 6 249 220 7 276 219 8 213 161 9 241 210 10 380 313 11 262 226 Does the exercise program reduce the serum cholesterol level? Let the level of significance be 0.05. 1.) Question: What type of experimental design is this? Why? Matched pairs design. One subject two treatments. 2.) Define the parameter(s) : μ1 is the mean cholesterol level for the post- training and μ2 is the mean cholesterol level for the pre- training; μd is the mean(cholesterol level for the post- training – cholesterol level for the pre-training) 3.) State the Null _______ μd = 0_____________
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State the alternative: __ μd < 0 ______________ 4.) Verify the assumptions: Define the difference as the post training cholesterol level – pre-training cholesterol level Anderson – Darling Goodness-of-Fit normality test p-value = .852 implies that the differences are sampled from a population that is normally distributed. No outliers in the data. 5.) State the decision Rule: If the p-value < α , then reject the Null hypothesis ( μd = 0) 6.) State the conclusion in the context of the exercise: Paired T-Test and CI: Post, Pre
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