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Test the hypothesis for difference between two mean and calculate the 99% confidence interval for two mean.
Hypersexual behavior caused by traumatic brain injury (TBI) is often treated with the drug Depo-Provera. In one clinical study, eight young male TBI patients who exhibited hypersexual behavior were treated weekly with 400 mgs of Depo-Provera for six months. The testosterone levels [in ng/DL]prior to treatment and at the end of the 6-month treatment period are given in the table below.
Patient
Pre-Treatment
After 6 months on Depo-Provera
1 2 3 4 5 6 7 8
849 903 890 1,092 362 900 1,006 672
96 41 31 124 46 53 113 174
a. Calculate a 99% confidence interval for the true mean difference between pretreatment and after treatment testosterone levels of young male TBI patients.
b. Perform; using the usual 4 steps, a test of hypothesis to determine if the treatment by Depo-Provera is effective in reducing testosterone levels of young male TBI patients. Use α = 0.5
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