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The researcher later marks a 7mm long muscle on the thigh (the rectus femoris which occupies the middle of the thigh) of each study participant and injects the higher concentration (in the marked muscle area) to 15 of the runners (randomly selected from the 30). The lower concentration is injected in the marked muscle area of the remaining 15 participants.
The researcher later measures the length of the marked muscle in all 30 participants after 15 minutes of the injection and she wants to conclude whether the two concentrations of drug differ in their effect. The estimate she will be using is the difference in sample means.
The results were as follows: the mean muscle length for the high concentration was 14 mm, and for the low concentration, 9.5 mm.
The researcher knew from previous large-scale research that the value of the population standard deviation for the effect of the high concentration of the relaxant drug on muscle was: σH=0.7 mm, and the population standard deviation for the low concentration was: σL=0.6 mm.
What is the difference in means of the two samples?
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