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 35 30 x 2.34 2.61 s 0.97 0.57       Question content area bottom Part 1 a. Test the claim that the two samples are from populations with the same mean.   What are the null and alternative​ hypotheses?     A. H0​: μ1=μ2 H1​: μ1≠μ2   B. H0​: μ1<μ2 H1​: μ1≥μ2   C. H0​: μ1=μ2 H1​: μ1>μ2   D. H0​: μ1≠μ2 H1​: μ1<

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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
35
30
x
2.34
2.61
s
0.97
0.57
 
 
 

Question content area bottom

Part 1
a. Test the claim that the two samples are from populations with the same mean.
 
What are the null and alternative​ hypotheses?
 
 
A.
H0​:
μ1=μ2
H1​:
μ1≠μ2
 
B.
H0​:
μ1<μ2
H1​:
μ1≥μ2
 
C.
H0​:
μ1=μ2
H1​:
μ1>μ2
 
D.
H0​:
μ1≠μ2
H1​:
μ1<
 
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