uestion content area top 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 0.10 significance level for both parts.     Treatment Placebo   μ μ1 μ2 n 26 36 x 2.34 2.67 s 0.53 0.82       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≠μ2 Your answer is correct. Part 2 The test​ statistic, t, is negative 1.92−1.92. ​(Round to two decimal places as​ needed.) Part 3 The​ P-value is 0.0590.059. ​(Round to three decimal places as​ needed.) Part 4 State the conclusion for the test.     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. 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.   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. Your answer is correct.   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. Part 5 b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.   ------<μ1−μ2< ------- enter your response here

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Question content area top

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
0.10
significance level for both parts.
 
 
Treatment
Placebo
 
μ
μ1
μ2
n
26
36
x
2.34
2.67
s
0.53
0.82
 
 
 

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≠μ2
Your answer is correct.
Part 2
The test​ statistic, t, is
negative 1.92−1.92.
​(Round to two decimal places as​ needed.)
Part 3
The​ P-value is
0.0590.059.
​(Round to three decimal places as​ needed.)
Part 4
State the conclusion for the test.
 
 
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.
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.
 
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.
Your answer is correct.
 
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.
Part 5
b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.
 
------<μ1−μ2< ------- enter your response here
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman