We want to test the relative efficacy of a new cholesterol loweringdrug A versus existing drug B. We randomize na subjects with high cholesterol to taketreatment A and nB subjects to take treatment B. After a 1-month followup, we measurecholesterol levels in both groups. Suppose the data in the two groups are independent andiidYA, YA,..., YAN(u4, o2) and YB,YB,.YB idN(µB, o²), where o? = 9 is known.....Let Y4 and YB be the sample average cholesterol level in group A and B.1. What is the distribution of the difference in sample means: Â = ŸA-¥B? Hint: whatis the distribution of each group's sample average? What do we know about linearcombinations of normal RVs?2. Let A = uA – µB be the true difference in cholesterol levels in populations treated withA versus B. What is the distribution of Z =Â-A?Vo? /na+o²/ng3. Suppose YA= 20 and YB= 26 with na = nB = 36. Conduct an a = .05 significancelevel test of Họ : A = 0 versus Ha : A 0. Do you reject or fail to reject the null atthe .05 significance level? Be sure to find the distribution under the null, compute thecritical value, find the rejection region, and the compute the p-value.Construct a 95% interval estimator for A in Problem 4.1-4.3 byinverting the test you found in that problem. Derive the interval estimator in general terms,then substitute the data values from part 4.3 to compute an interval estimate. Interpret theconfidence interval estimate.

1. The distribution of the difference in the sample means, ∆^=Y¯A-Y¯B: Consider, the mean of…

Answered: We want to test the relative efficacy…

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

Similar questions

Imagine you are a statistical consultant and your client, a weightlifting supplement company, is looking to see if their product is effective in increasing muscle mass gained over a training cycle. You randomly sampled 20 female weightlifters and assigned them to take the supplement and 20 to take a placebo. You have both groups run the same controlled training program over 12 weeks and calculated their whole body lean mass difference in pounds from the beginning to the end of the program. Can you infer that the supplement group gained more muscle mass on average than the placebo group? Use a = 0.05 for any hypothesis test. પ્રમ 1) State the research question in one sentence and use the question to determine the parameter we are using to conduct statistical inference. Describe this parameter in one sentence using symbols and a description. manu Aren
Dr. Wiese wants to determine whether duration of pregnancy and type of opiate use among pregnant women predict developmental delays in their children. In a sample of 30 new mothers, Dr. Wiese measured the duration of their pregnancies (premature, mature, postmature) and the type of opiate that they used during pregnancy (oxycodone, heroin). All participants' babies were then rated on how closely they have met developmental milestones on a scale ranging from 1-10. 1. What is an interaction effect? Use the above scenario if it helps you explain it. 2. What does "two-way" refer to in the Two-Way ANOVA? 3. Identify one of the independent variables. How many levels does this variable have?
Choose the correct answer and show a hand written solution
DiabetesA group of 10-year-old boys were first ascertained in acamp for diabetic boys. They had their weight measuredat baseline and again when they returned to camp 1 yearlater. Each time, a serum sample was obtained from whicha determination of hemoglobin A1c (HgbA1c) was made.HgbA1c (also called glycosylated hemoglobin) is routinelyused to monitor compliance with taking insulin injections.Usually, the poorer the compliance, the higher the HgbA1clevel will be. The hypothesis is that the level HgbA1c isrelated to weight. The data in Table 11.28 were obtained.11.92 What test can be performed to assess the relationship between weight and HgbA1c at the initial visit?11.93 Please perform the test in Problem 11.92, and reporta two-tailed p-value.11.94 Do the results in Problem 11.93 imply a relationshipbetween change in HgbA1c and change in weight for anindividual boy? Why or why not?11.95 Compute a rank correlation between change inweight and change in HgbA1c, each over 1 year. Use this…
Would like to know if I calculated this correctly. Please see my answers for the questions. Endothelin is a powerful vasoconstrictor peptide derived from the endothelium. The contribution of endothelin to blood-pressure regulation in patients with hypertension was as-sessed by studying the effect of an endothelin-receptor antagonist, Bosentan. In the study, 293 patients with mild to moderate hypertension were randomized to receive one of four oral doses of Bosentan (100, 500, 1000, or 2000 mg daily), a placebo, or the ACE (angiotensin-converting enzyme) inhibitor enalapril (an established antihypertensive drug) [18]. The reported mean changes in systolic blood pressure (SBP) over a 24-hour period are shown in Table 11.23. Table 11.23 Mean change in SBP over 24 hours Group Mean Change Bosentan dose (mg) ln(dose) Placebo -0.9 1 0 100mg bosentan -2.5 100 4.61 500 mg bosentan -8.4 500 6.21 1000 mg bosentan -7.4 1000 6.91 2000 mg bosentan -10.3 2000 7.60 11.61 What test can…
An RCT was designed to test the effectiveness of naltrexone, an opiate receptor antagonist, as a treatment for alcohol dependence. Subjects with chronic severe alcohol dependence were randomly assigned to either 3 months of naltrexone treatment or 3 months of placebo treatment. The number of drinks per drinking day was compared between the two groups. Let μ1= population mean number of drinks per drinking day for those on Naltrexone and μ2= population mean number of drinks per drinking day for those on placebo. The data from the study are summarized in the table below. Naltrexone(n1 = 196) Placebo (n2=195) Mean Number of drinks perdrinking day Xbar1=10.5 Xbar2=9.3 Standard Deviation of Numberof drinks per drinking day S1= 80 S2= 7.0 The investigators want to test whether there is a significant difference between the two groups using a 5% significance level. 1. What is the most appropriate test to address the investigators’ research question? a. Pearson’s Chi-Squared…
9. From a psychological knowledge-claim point of view, an analysis of data based on for repeated-measures is noteworthy because the analysis is based on how each and every sampled individual shows variation on the dependent variable (DV) rather than how groups of sampled individuals show variation on the DV . a, true b. false In a study with one sample of individuals measured on the dependent variable (DV) before and after treatment, the average difference between DV scores is found to depart from zero. This suggests the possibility of rejecting the null hypothesis (He: Dbar = 0) true or false
The human resources director of a large company recently asked her staff to conduct a study of the airline miles traveled by executives of the company during the most recent calendar year. The analyst assigned to the project randomly sampled 25 male executives and 25 female executives. Of particular interest to the HR director is whether males have greater variability in miles flown than females. The statistics available below were computed from the samples. Based on these data, what should the HR director conclude if an alpha level equal to 0.01 is used? LOADING... Click the icon to view the statistics about the number of miles flown. Males Females Mean Miles 73,262 66,888 St. Deviation Miles 2,568 1,539 Sample Size 25 25 Let sample 1 be males and sample 2 be females. What are the null and alternative hypotheses? A. H0: σ21=σ22 HA: σ21≠σ22 B. H0: σ21≤σ22 HA: σ21>σ22 C. H0: σ21≥σ22 HA:…
can you explain how these scores were found, based on the statistics provided they dont seem to match up.' There is a significant interaction effect between employment status and substance use on stress levels. Two-Way ANOVA result: F(3,470) = 5.67, p = 0.001' I
Q4
A chemist wishes to test the effect of four chemical agents on the strength of a particular type of cloth. Because there might be variability from one bolt to another, the chemist decides to use a randomized block design, with the bolts of cloth considered as blocks. She selects five bolts and applies all four chemicals in random order to each bolt. The resulting tensile strengths follow. Analyze the data from this experiment (use α = 0.05) and report the ANOVA table which an explanation for the content information. Chemical Bolt 1 Bolt 2 Bolt 3 Bolt 4 Bolt 5 1 73 68 74 71 67 2 73 67 75 72 70 3 75 68 78 73 68 4 73 71 75 75 69
The Paleo diet allows only for foods that humans typically consumed over the last 2.5 million years, excluding those agriculture-type foods that arose during the last 10,000 years or so. Researchers randomly divided 500 volunteers into two equal-sized groups. One group spent 6 months on the Paleo diet. The other group received a pamphlet about controlling portion sizes. A randomized treatment assignment was performed, and at the beginning of the study, the average difference in weights between the two groups was about 0 pounds. After the study, the Paleo group had lost an average of 7.1 pounds with a standard deviation of 22.75 pounds while the control group had lost an average of 4.5 pounds with a standard deviation of 11.5 pounds. After failing to reject the null hypothesis support your answer with a p-value (a) P-value = _______

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

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

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

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

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

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

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS