Treatment| Placebo 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. H2 29 36 2.39 2.66 0.97 0.59 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? O A. Ho: H1 = H2 H1: H1> H2 B. Ho: H1 # H2 H1: H1
Treatment| Placebo 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. H2 29 36 2.39 2.66 0.97 0.59 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? O A. Ho: H1 = H2 H1: H1> H2 B. Ho: H1 # H2 H1: H1
Transcribed Image Text:Treatment Placebo
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.
H1
H2
n
29
36
2.39
2.66
0.97
0.59
a. Test the claim that the two samples are from populations with the same mean.
What are the null and alternative hypotheses?
O A. Ho: H1 = H2
H1: H1> H2
B. Ho: H1 # H2
H1: Hy < H2
O C. Ho: 41 < H2
H1: H1Z H2
D. Ho: H1 = H2
H: Hy # 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.
Transcribed Image Text:Treatment Placebo
A study was done using a treatment group and a placebo group. The results are shown in the
H2
table. Assume that the two samples are independent simple random samples selected from
In
normally distributed populations, and do not assume that the population standard deviations
29
36
2.39
2.66
are equal. Complete parts (a) and (b) below. Use a 0.10 significance level for both parts.
0.97
0.59
O A. 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.
B. 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.
C. 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.
D. 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.
b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same
mean.
(Round to three decimal places as needed.)
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