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Test the hypothesis for difference between two mean and find out the 99% confidence interval for two mean.

Hypersexual behaviour caused by traumatic brain injury (TBI) is often treated with drug Depo-Provera. In one clinical study, eight young male TBI patients who exhibited hypersexual behaviour 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. find out a 99 percent confidence interval for the true mean difference between pre-treatment 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.  Utilize α = 0.5.

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M921856

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