A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.10 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁ H₁ H₂ OC. Ho: H₁ H₂ H₁: H₁ H₂ OB. Ho: H₁ H₂ H₁: H₁

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a. What are the null and alternative​ hypotheses?

b. The test​ statistic, t, is 

c. The​ P-value is

d. State the conclusion for the test.

e. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.

A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random
samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a
0.10 significance level for both parts.
a. Test the claim that the two samples are from populations with the same mean.
What are the null and alternative hypotheses?
A. Ho: M₁ = ₂
H₁: H₁ H₂
OC. Ho: H₁ H₂
H₁ H₁ H₂
B. Ho: H₁ H₂
H₁: M₁ <H₂
D. Ho: M₁ = H₂
H₁: M₁
M₂
|μ
n
X
Treatment Placebo
H₁
H₂
31
38
2.31
2.68
0.58
0.87
Transcribed Image Text:A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.10 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? A. Ho: M₁ = ₂ H₁: H₁ H₂ OC. Ho: H₁ H₂ H₁ H₁ H₂ B. Ho: H₁ H₂ H₁: M₁ <H₂ D. Ho: M₁ = H₂ H₁: M₁ M₂ |μ n X Treatment Placebo H₁ H₂ 31 38 2.31 2.68 0.58 0.87
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