H 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 n 0.05 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. EXCE X S Treatment Placeb Hy H₂ 34 2.69 0.58 30 2.33 0.87

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μ
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
0.05 significance level for both parts.
n
H₁: H₁ H₂
(Round to two decimal places as needed.)
The P-value is (Round to three decimal places as needed.)
State the conclusion for the test.
The test statistic, t, is
CREED
H₁: H₁ H₂
X
Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.
<H1-H₂
ound to three decimal places as needed.)
Treatment Placebo
Hy
H₂
34
2.69
0.58
S
OA. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean.
OB. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean.
OC. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean.
OD. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean.
30
2.33
0.87
M...
Transcribed Image Text:μ 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 0.05 significance level for both parts. n H₁: H₁ H₂ (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. The test statistic, t, is CREED H₁: H₁ H₂ X Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean. <H1-H₂ ound to three decimal places as needed.) Treatment Placebo Hy H₂ 34 2.69 0.58 S OA. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. OB. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. OC. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. OD. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. 30 2.33 0.87 M...
μ
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 n
0.05 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: Hi<H2
H₁: H₁ H₂
The test statistic, t, is
(Round to two decimal places as needed.)
The P-value is (Round to three decimal places as needed.)
State the conclusion for the test.
***
OB. Ho: H1 H₂
H₁: HH₂
OD. Ho: H₁ H2
H₁: H₁ H₂
X
S
O A. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean.
OB. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean.
Treatment Placeb
H1
30
2.33
0.87
H₂
34
2.69
0.58
Transcribed Image Text:μ 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 n 0.05 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: Hi<H2 H₁: H₁ H₂ The test statistic, t, is (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. *** OB. Ho: H1 H₂ H₁: HH₂ OD. Ho: H₁ H2 H₁: H₁ H₂ X S O A. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. OB. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. Treatment Placeb H1 30 2.33 0.87 H₂ 34 2.69 0.58
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