Please note that this question consists of seven parts. Use the MINITAB outputs provided to you to answer the question. Show all your work/explanation. Just giving the answer without adequate explanation work may result in zero for the question. A company that manufactures a homeopathic drug claims that it can reduce the time takes to overcome jet lag from long distance flights. A researcher is interested in testing this claim.He takes a random sample of 50 passengers making a trip from Las Vegas to Melbourne, Australia. He randomly assigns half of his sample to take the placebo and the remaining half to take the actual drug. Then he collected the data on the number of days it took for them to recover from the jet lag from the trip.Part of the data with some summary statistics is displayed below. Please note that some information may or may not be relevant. PlaceboDrugDiff 45-1 734 68-2 ... ... 972 413Mean5.524.361.16SD1.9171.8232.511Are the two samples: Placebo and Drug, independent or dependent? Explain your answerFrom the provided plots: (A), (B) and (C), clearly state which plot/plots you would use to check any assumptions.Do you see any serious violations of those assumptions? Explain your answer without simply saying yes or no.Researcher is interested in testing the claim made by the company manufacturing the drug. To answer this question, which output: output 1 or output 2 would you use? Output 1Output 2 Explain the reason for your choice of output in part 4.What is the p value for the test ? Write the probability statement for the p value for this test, and copy the numerical value of the p value from your choice of output.Using the p value you derived in part 6, what would be your conclusion to the researchers question at 5% significance level (write the conclusion in the context of the problem). View keyboard shortcuts EditViewInsertFormatToolsTable12pt Paragraph 99909050Percent10-999050Probability Plot of Placebo, Drug, DiffNormal - 95% CI(A)Placebo0.02.55.07.510.0Diff(C)101599909050101011010(B)DrugPlaceboMean5.52StDev1.917N25AD0.533P-Value 0.156DrugMean436StDev1.823N25AD0.4790.02.55.07.510.0P-Value 0.215DiffMean1.16StDev2.511N25AD0.598P-Value 0.108 Output 1MethodH₁population mean of Placebo.Hz: population mean of DrugDifference: μ₁- H₂Equal variances are assumed for this analysis.Output 2Descriptive StatisticsSample N Mean StDev SE MeanPlacebo 25 5.520 1.9170.383Drug25 4.360 1.8230.365Descriptive StatisticsSample N Mean StDev SE MeanPlacebo 25 5.521.920.38Drug25 4.361.820.36Estimation for Paired DifferenceMean StDev SE Mean1.160 2.51195% Lower Boundfor μ_difference0.5020.301Estimation for DifferenceDifference Pooled StDev95% Lower Boundfor Difference1.1601.8710.272TestNull hypothesisAlternative hypothesis H₁₁₂ > 0T-Value DF P-Value2.19 480.017u_difference: population mean of (Placebo - Drug)TestNull hypothesisHo: _difference = 0Alternative hypothesis H₁: _difference > OT-ValueP-Value2.310.015

To determine whether the two samples (Placebo and Drug) are independent or dependent, we need to…

Answered: 99 90 90 50 Percent 10 - 99 90 50…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Please note that this question consists of seven parts. Use the MINITAB outputs provided to you to answer the question. Show all your work/explanation. Just giving the answer without adequate explanation work may result in zero for the question.

A company that manufactures a homeopathic drug claims that it can reduce the time takes to overcome jet lag from long distance flights. A researcher is interested in testing this claim.

He takes a random sample of 50 passengers making a trip from Las Vegas to Melbourne, Australia. He randomly assigns half of his sample to take the placebo and the remaining half to take the actual drug.

Then he collected the data on the number of days it took for them to recover from the jet lag from the trip.

Part of the data with some summary statistics is displayed below. Please note that some information may or may not be relevant.

	Placebo	Drug	Diff
	4	5	-1
	7	3	4
	6	8	-2
	.	.	.
	.	.	.
	9	7	2
	4	1	3
Mean	5.52	4.36	1.16
SD	1.917	1.823	2.511

Are the two samples: Placebo and Drug, independent or dependent? Explain your answer
From the provided plots: (A), (B) and (C), clearly state which plot/plots you would use to check any assumptions.
Do you see any serious violations of those assumptions? Explain your answer without simply saying yes or no.
Researcher is interested in testing the claim made by the company manufacturing the drug. To answer this question, which output: output 1 or output 2 would you use?

Output 1 Output 2
Explain the reason for your choice of output in part 4.
What is the p value for the test ? Write the probability statement for the p value for this test, and copy the numerical value of the p value from your choice of output.
Using the p value you derived in part 6, what would be your conclusion to the researchers question at 5% significance level (write the conclusion in the context of the problem).

View keyboard shortcuts

EditViewInsertFormatToolsTable

12pt

Paragraph

99
90
90
50
Percent
10
-
99
90
50
Probability Plot of Placebo, Drug, Diff
Normal - 95% CI
(A)
Placebo
0.0
2.5
5.0
7.5
10.0
Diff
(C)
10
1
5
99
90
90
50
10
10
1
10
10
(B)
Drug
Placebo
Mean
5.52
StDev
1.917
N
25
AD
0.533
P-Value 0.156
Drug
Mean
436
StDev
1.823
N
25
AD
0.479
0.0
2.5
5.0
7.5
10.0
P-Value 0.215
Diff
Mean
1.16
StDev
2.511
N
25
AD
0.598
P-Value 0.108

Output 1
Method
H₁population mean of Placebo.
Hz: population mean of Drug
Difference: μ₁- H₂
Equal variances are assumed for this analysis.
Output 2
Descriptive Statistics
Sample N Mean StDev SE Mean
Placebo 25 5.520 1.917
0.383
Drug
25 4.360 1.823
0.365
Descriptive Statistics
Sample N Mean StDev SE Mean
Placebo 25 5.52
1.92
0.38
Drug
25 4.36
1.82
0.36
Estimation for Paired Difference
Mean StDev SE Mean
1.160 2.511
95% Lower Bound
for μ_difference
0.502
0.301
Estimation for Difference
Difference Pooled StDev
95% Lower Bound
for Difference
1.160
1.871
0.272
Test
Null hypothesis
Alternative hypothesis H₁₁₂ > 0
T-Value DF P-Value
2.19 48
0.017
u_difference: population mean of (Placebo - Drug)
Test
Null hypothesis
Ho: _difference = 0
Alternative hypothesis H₁: _difference > O
T-Value
P-Value
2.31
0.015

Expert Solution

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Output 1	Output 2