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

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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
29
31
x
2.35
2.66
s
0.94
0.54
a. Test the claim that the two samples are from populations with the same mean.
 
What are the null and alternative​ hypotheses?
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