Pharmaceutical company, Glaxo Holding, has developed a new drug called somatript

Question

Pharmaceutical company, Glaxo Holding, has developed a new drug called somatriptan for migrain headaches. Glaxo has made claim that the mean time it takes to enter the bloodsteam is less than 10 min. FDA decided to test of the validity of this claim, and conducted an experiment of randomly selected 30 migraine sufferers. FDA discovered that in the sample of 30, the mean time was 11.0 min. The standard deviation for each measurement is 1 min. (a) What is the null hypothesis and alternative hypothesis for this case? (b) Does FDA accept the null hypothesis or go for alternative?

Explanation / Answer

here null hypothesis: mean =10

alternate hypothesis: mean >10

std error =std deviation/(n)1/2 =1/(30)1/2 =0.1826

test stat t=(X-mean)/stdf error =(11-10)/0.1826 =5.4772

for above test stat p value =0.0000

as p value is significantly low; we reject null hypothesis.

And conclude that mean time is greater then 10 minutes

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