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

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Fifty students take two midterm exams. On the first exam, the mean score is 65.0 and the standard deviation is 7.00. On the second exam, the mean score is 55.0 with a standard deviation of 10.00. The correlation coefficient of the two score is 0.70. Obtain the least squares regression line using the second exam score to predict the first exam score.
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
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 = _______
Suppose we have two SRSS from two distinct populations and the samples are independent. We measure the same variable for both samples. Suppose both populations of the values of these variables are normally distributed but the means and standard deviations are unknown. For purposes of comparing the two means, we use (a) Two-sample t procedures (b) Matched pairs t procedures (c) z procedures (d) The least-squares regression line (e) None of the above. The answer is
A study is being conducted to compare vitamin C and zinc to determine which is better at fighting colds. Customers believe vitamin C is better at fighting colds. What are the appropriate hypotheses for this testing scenario? Let μc equal the mean of the effectiveness of vitamin C and μz equal the mean of the effectiveness of zinc. O Ho: Hc - Hz= 0 Ha Hc - Hz > 0 O Ho: Hc - Hz= 0 Ha Mc-Hz 0 o Ho: Xe – xz = 0 Hai Xi — Xz #0
Please sir or ma’am, please help me with hypothesis, critical region, and t statistic.
Only one can be chosen
For the general population, the average fatigue level is μ = 50. A researcher is testing the hypothesis that engaging a meditation exercise reduces employee fatigue. A sample of n = 30 participants is obtained, and each participant engaged in a meditation exercise for 20 minutes at work each workday for a month. This sample’s average fatigue level was M = 46 with a sample variance of 100 after the month. Please write out the four steps for this hypothesis test assuming an alpha level of .05. Step 1: State your hypotheses Step 2: Find your critical regions in a distribution Step 3: Data Analysis Step 4: Making a decision
When only two treatments are involved, ANOVA and the Student’s t-test (Chapter 11) result in the same conclusions. Also, for computed test statistics, t2 = F. To demonstrate this relationship, use the following example. Fourteen randomly selected students enrolled in a history course were divided into two groups, one consisting of six students who took the course in the normal lecture format. The other group of eight students took the course in a distance format. At the end of the course, each group was examined with a 50-item test. The following is a list of the number correct for each of the two groups. Traditional Lecture Distance 36 45 31 35 40 45 34 35 33 45 38 36 43 41 a-1. Complete the ANOVA table. (Round your SS, MS, and F values to 2 decimal places and p-value, F crit to 4 decimal places.) Source of Variation SS df MS F p-value F crit Treatment 96.01 1 96.01 5.67 0.0350 Error 203.21 12 16.93 Total 299.21 13…

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