m 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.

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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
0.10
significance level for both parts.
 
 
Treatment
Placebo
 
μ
μ1
μ2
n
32
38
x
2.35
2.64
s
0.88
0.54
 
 
* Find the Tstat
* Find the P value
* State the conclusion
* Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.
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