Question

6 guinea pigs injected with 0.5 mg of a medication took on the average 15.4 seconds to fall aslees with a st. dev. of 2.2 seconds, while 6 other guinea pigs injected with 1.5 mg of the medication took on the average 11.2 seconds to fall asleep with a st. Dev. of 2.6 seconds. Use the level of siginificance 0.05 to test the null hypothesis that the difference in dosage has no effect against the alternative hypothesis the second dose causes less time to fall asleep.

Answer 1

H0:Difference in dosage has no effect

Ha:Difference in dosage causes less tie to fall asleep

though the H0 and Ha are stated as needed, we will have to test statistically with time variable

Critical t=t(0.95,10dof)=1.812

As t*>1.812, we reject H0 and say the second dose causes less time to fall asleep.

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