a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. Ho: 1₁ = H₂ H₁ H₁ H₂ OC. Ho: 1₁ =¹₂ H₁: H₁ H₂ The test statistic, t, is The P-value is State the conclusion for the test. OB. Ho: H₁ H₂ H₁: Hy ²H₂ OD. Ho. H#H2 H₁: H₁ H₂ (Round to two decimal places as needed.) (Round to three decimal places as needed.) 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. O B. 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 C. 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. O D. 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.
a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. Ho: 1₁ = H₂ H₁ H₁ H₂ OC. Ho: 1₁ =¹₂ H₁: H₁ H₂ The test statistic, t, is The P-value is State the conclusion for the test. OB. Ho: H₁ H₂ H₁: Hy ²H₂ OD. Ho. H#H2 H₁: H₁ H₂ (Round to two decimal places as needed.) (Round to three decimal places as needed.) 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. O B. 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 C. 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. O D. 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.
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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Part 1
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.
. |
Treatment
|
Placebo
|
|
---|---|---|---|
μ
|
μ1
|
μ2
|
|
n
|
33
|
39
|
|
x
|
2.34
|
2.65
|
|
s
|
0.55
|
0.93
|
![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?
OA. Ho: M₁ =H₂
H₁ H₁ H₂
OC. H₂: H₁ =H₂
H₁: H₁ H₂
The test statistic, t, is
The P-value is
State the conclusion for the test.
OB. Ho: H₁ H₂
H₁: Hy ²H₂
O D. H₂: H₁ H₂
H₁ H₁ H₂
(Round to two decimal places as needed.)
(Round to three decimal places as needed.)
|μ
n
S
Treatment Placebo
H₁
33
2.34
0.55
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.
<H₁-H₂
(Round to three decimal places as needed.)
H₂
39
2.65
0.93
B. 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 C.
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.
O D.
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. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the
same mean.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F717e652d-d2e5-48fc-b5bd-80fe3da265db%2F2a4aeb09-bdfd-4854-8927-9ab1f8cbfa4a%2Flye2wg_processed.png&w=3840&q=75)
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?
OA. Ho: M₁ =H₂
H₁ H₁ H₂
OC. H₂: H₁ =H₂
H₁: H₁ H₂
The test statistic, t, is
The P-value is
State the conclusion for the test.
OB. Ho: H₁ H₂
H₁: Hy ²H₂
O D. H₂: H₁ H₂
H₁ H₁ H₂
(Round to two decimal places as needed.)
(Round to three decimal places as needed.)
|μ
n
S
Treatment Placebo
H₁
33
2.34
0.55
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.
<H₁-H₂
(Round to three decimal places as needed.)
H₂
39
2.65
0.93
B. 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 C.
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.
O D.
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. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the
same mean.
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