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 0.01 significance level for both parts   Treatment Placebo μ μ1 μ2 n 30 34 x 2.39 2.65 s 0.97 0.69   b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.

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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 0.01 significance level for both parts

 
Treatment
Placebo
μ
μ1
μ2
n
30
34
x
2.39
2.65
s
0.97
0.69
 
b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.
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