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3. When testing for a difference between the means of a treatment group and a placebo group ( μt - μp ≠ 0), 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 different from the mean for the placebo population? Explain.
A) Yes, the critical value value for a two-tail test is 1.959961, which is greater than the test stat. There is sufficient evidence to support the claim that the two population means are different.
B) No, the P-value for a two-tail test is 0.0384, which is less than the significance level of 0.05. There is sufficient evidence to support the claim that the two population means are different.
C) No, the P-value for a two-tail test is 0.0768, which is greater than the significance level of 0.05. There is not sufficient evidence to support the claim that the two population means are different.
D) Yes, the P-value for a two-tail test is 0.0768, which is greater than the significance level of 0.05. There is sufficient evidence to support the claim that the two population means are different.
C) No, the P-value for a two-tail test is 0.0768, which is greater than the significance level of 0.05. There is not sufficient evidence to support the claim that the two population means are different.