Hypersexual behavior caused by traumatic brain injury (TBI) is often treated wit

Question

Hypersexual behavior caused by traumatic brain injury (TBI) is often treated with drug Depo-Provera. (In a clinical study, eight young male TBI patients who exhibited hypersexual behavior were treated weekly with 400 milligrams of Depo-Provera for six months (Journal of Head Trauma Rehabilitation, June 1995). The testosterone level (in ng/dL) of the patients both prior to the treatment and at the end of the 6-month treatment period are given as: Do we have sufficient evidence to conclude that hue mean difference between the pretreatment and post treatment testosterone levels of young male TBI patients is more that 750? Test at 0.05 level of significance.

Explanation / Answer

here test stat t=(d-750)/std error =-0.0063

p value for above at 7 degree of freedom = 0.4976

as p value is higher then 0.05 level, we can not reject null hypothesis that mean differnce b/w pretreatment and post trreatment testesterone level of young male TBI patient is less then or equal to 750.

hence we do not have sufficient evidence

pre Post difference(d) 849 96 753.0000 903 41 862.0000 890 31 859.0000 1092 124 968.0000 362 46 316.0000 900 53 847.0000 1006 113 893.0000 672 174 498.0000 mean 749.5000 std deviaition 224.7774 std error= std dev/(n)^(1/2) 79.4708

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