When testing for a difference between the means of a treatment group and a place

Question

When testing for a difference between the means of a treatment group and a placebo group, the computer display below is obtained. Using a 0.05 significance level, is there sufficient evidence to support the claim that the treatment group (variable 1) comes from a population with a mean that is less than the mean for the placebo population? Explain. t-Test: Two Sample for Means Mean Known Variance Variable 1 Variable 2 65.10738 66.18231 8.102938 10 27387 50 50 4 Observations 5 Hypothe seed Mean Difference 10 7PCT-t) one-tail 8 TCritical one-tail 1.773417- 00384 1 6448 53 00768 1959961 9 PTt) two-tail 10 tCritical two-tail

Explanation / Answer

So, we are testing wether the treatment group ( Variables 1) comes from a population with a mean that is less than the eman of the placebo population.

THe p(T<=t) on-tail is .0384, indicating that it is less than .05. So, we reject null hypothesis and conclude that there is sufficient evidence to support the claim that the treatment group ( variable 1) comes from a population with a mean that is less than the mean for placebo population.

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