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 0.01 significance level for both parts. Treatment Placebo μ μ1 μ2 n 27 32 x 2.37 2.68 s 0.94 0.66 a. Test the claim that the two samples are from populations with the same mean. i) What are the null alternative hypothesis? ii) What's the test statics? iii) What's the P-value? iv) State the conclusion vi) construct a confidence interval suitable suitable for testing the claim that the two samples are from populations with the same mean vii) Does the confidence interval support the conclusion found with the hypothesis test?
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 0.01 significance level for both parts. Treatment Placebo μ μ1 μ2 n 27 32 x 2.37 2.68 s 0.94 0.66 a. Test the claim that the two samples are from populations with the same mean. i) What are the null alternative hypothesis? ii) What's the test statics? iii) What's the P-value? iv) State the conclusion vi) construct a confidence interval suitable suitable for testing the claim that the two samples are from populations with the same mean vii) Does the confidence interval support the conclusion found with the hypothesis test?
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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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
0.01
significance level for both parts. |
|
|
Treatment
|
Placebo
|
|
---|---|---|---|---|---|
μ
|
μ1
|
μ2
|
|||
n
|
27
|
32
|
|||
x
|
2.37
|
2.68
|
|||
s
|
0.94
|
0.66
|
a. Test the claim that the two samples are from populations with the same mean.
i) What are the null alternative hypothesis?
ii) What's the test statics?
iii) What's the P-value?
iv) State the conclusion
vi) construct a confidence interval suitable suitable for testing the claim that the two samples are from populations with the same mean
vii) Does the confidence interval support the conclusion found with the hypothesis test?
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