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. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? A. Ho: H₁ H₂ H₁ H₁ H₂ O C. Hoi Ho = t2 H₁: H₁ H₂ The test statistic, t, is -1.45. (Round to two decimal places as needed.) The P-value is 0.153. (Round to three decimal places as needed.) State the conclusion for the test. OB. Ho: H1 H₁ H₁ H₂ H₂ OD. Ho: H₁ H¹₂ H₁ H₁ H₂ BOKS b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.
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. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? A. Ho: H₁ H₂ H₁ H₁ H₂ O C. Hoi Ho = t2 H₁: H₁ H₂ The test statistic, t, is -1.45. (Round to two decimal places as needed.) The P-value is 0.153. (Round to three decimal places as needed.) State the conclusion for the test. OB. Ho: H1 H₁ H₁ H₂ H₂ OD. Ho: H₁ H¹₂ H₁ H₁ H₂ BOKS b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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.
a. Test the claim that the two samples are from populations with the same mean.
What are the null and alternative hypotheses?
A. Ho: H₁ H₂
H₁: H₁
H₂
OC. Ho: H₁
H2
H₁ H₁ H₂
The test statistic, t, is -1.45. (Round to two decimal places as needed.)
The P-value is 0.153. (Round to three decimal places as needed.)
State the conclusion for the test.
C
OB. Ho: H₁ <H₂
H₁: H₁ H₂
OD. Ho: H#H2
H₁: H₁ H₂
μ|
b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.
<H₁-H₂<
(Round to three decimal places as needed.)
In
X
S
Treatment Placebo
H₂
35
2.66
0.96
H1
28
2.37
0.62
O A. 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.
OB. 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. 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.
O D. 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.
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