Assume a sample on which you are about to conduct a randomized experiment with potential outcomes asindicated in the table below. Assume that for this experiment, you will randomize each of the units below toreceive treatment Z = 1 or control Z = 0, and benefit of treatment will be determined on the basis of howmuch it increases the value of the outcome.Unit, iAssignment, Z;Y; (0)Y; (1)171235454656787823436.455584848.52729.1424102131Question 5What is the SATE for this sample? Enter your answer to the nearest hundredth.513.4.

The data for the Yi0 and Yi1 is given.

Answered: Assume a sample on which you are about…

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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Working with the Neyman-Pearson Lemma. (a) A sample of size n taken from a normal population with a known variance of σ2 = 9.7969 is used totest H0 : µ = µ0 against H1 : µ = µ1 where µ1 > µ0. Use the Neyman-Pearson Lemma to producea test statistic and the corresponding most powerful critical region at the α level of significance for agiven α. (b) Suppose the sample size is n = 49, H0 : µ = 1 and H1 : µ = 3.5. Find most powerful critical regionat the 1% level of significance for testing H0 against H1. en compute the power of the test.
A test of body reaction to the Malaysian citizens who have taken their vaccine was conducted.Selected citizens who got side effect are categorised according to their blood type and the typeof vaccine received. From a sample of 250 citizens, 150 of them were administered withSinovac while the rest received AstraZeneca. Table 4 shows the number of citizens who hadside effect after being vaccinated. i) Complete Table 4 by finding the values of M and N. ii) Does different blood type among people who had side effect relate to the type of vaccinereceived at a=0.025?
Let x be a random variable representing dividend yield of German bank stocks. We assume that x has a normal distribution with average = 4.7% with SD = 2.4%. My random sample of 64 dividend yields of German bank stocks from the South of Germany had an average of 5.4%. Test if my sample of German bank stocks from the South are statistically different from the rest of Germany. For this test use the critical value of Zc = +-1.96 and and alpha = 0.05. Determine the null and alternative hypothesis. Group of answer choices H0 : population average = 4.7% H1 : population average > 4.7% H0 : population average = 4.7% H1 : population average 4.7% H0 : population average = 5.4% H1 : population average < 5.4% H0 : population average = 5.4% H1 : population average 5.4%
Let x be a random variable representing dividend yield of German bank stocks. We assume that x has a normal distribution with average = 4.7% with SD = 2.4%. My random sample of 64 dividend yields of German bank stocks from the South of Germany had an average of 5.4%. Test if my sample of German bank stocks from the South are statistically different from the rest of Germany. For this test use the critical value of Zc = +-1.96 and and alpha = 0.05. Determine the null and alternative hypothesis. Group of answer choices H0 : population average = 4.7% H1 : population average > 4.7% H0 : population average = 4.7% H1 : population average 4.7% H0 : population average = 5.4% H1 : population average < 5.4% H0 : population average = 5.4% H1 : population average 5.4% For this test use the critical value of Zc = +-1.96 and and alpha = 0.05. Determine the test statistic. Group of answer choices z = -2.33 z = +2.33 z = -0.29 z = +0.29 For this test use the critical value of Zc = +-1.96 and…
In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equal-size towels were used, with four sections of towels tested per brand. The absorbency rating data follow. Brand x y z 91 100 82 100 96 89 89 95 89 88 93 80 #1) At a 0.05 level of significance, does there appear to be a difference in the ability of the brands to absorb water? State the null and alternative hypotheses: A) H0: ?x ≠ ?y ≠ ?zHa: ?x = ?y = ?z B) H0: ?x = ?y = ?zHa: ?x ≠ ?y ≠ ?z C) H0: At least two of the population means are equal.Ha: At least two of the population means are different. D) H0: ?x = ?y = ?zHa: Not all the population means are equal. E) H0: Not all the population means are equal.Ha: ?x = ?y = ?z #2) Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = #3) State your conclusion. A) Reject H0. There is…
In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equal-size towels were used, with four sections of towels tested per brand. The absorbency rating data follow. Brand x y z 91 100 82 100 96 89 89 95 89 88 93 80 #1) At a 0.05 level of significance, does there appear to be a difference in the ability of the brands to absorb water? State the null and alternative hypotheses: A) H0: ?x ≠ ?y ≠ ?zHa: ?x = ?y = ?z B) H0: ?x = ?y = ?zHa: ?x ≠ ?y ≠ ?z C) H0: At least two of the population means are equal.Ha: At least two of the population means are different. D) H0: ?x = ?y = ?zHa: Not all the population means are equal. E) H0: Not all the population means are equal.Ha: ?x = ?y = ?z #2) Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = #3) State your conclusion. A) Reject H0. There is…
A sample is selected from a population with population mean = 50. After a treatment is administered to the individuals in the sample, the mean is found to be M = 55 and the variance is s2 = 64.a. If the sample has n = 36 scores, then conduct the four steps of hypothesis testing to evaluate the significance of the treatment effect and calculate Cohen’s d to measure the size of the treatment effect. Use a two-tailed test with alpha level = .05.
Biostatistics Outpatients (N = 36) with type 2 diabetes were referred back to the hospital because of the risk of developing chronic kidney disease (CKD) (possible kidney failure). During their follow-up, some patients were diagnosed with advanced (or end-stage) CKD, requiring an extension of their stay in the hospital, while others were readmitted for further medical assessment. Throughout the study, mortality and hospitalization rates, as well as bio-chemical lab test results, were reported. In addition, the attached data slice contains additional demographic data about the patient group. Q1: Write demographic and lifestyle summary with appropriate statistical tools of descriptive statistics that include Age(years), Gender, Level of deprivation [Townsend or socio-economical status SES], and Marital status.
Biostatistics Outpatients (N = 36) with type 2 diabetes were referred back to the hospital because of the risk of developing chronic kidney disease (CKD) (possible kidney failure). During their follow-up, some patients were diagnosed with advanced (or end-stage) CKD, requiring an extension of their stay in the hospital, while others were readmitted for further medical assessment. Throughout the study, mortality and hospitalization rates, as well as bio-chemical lab test results, were reported. In addition, the attached data slice contains additional demographic data about the patient group. Q2: Write a statistical summary for patients’ health status that include Smoking status, Glucose level (mmol/L), C-reactive protein (CRP) (mg/L), Blood urea (mmol/L), Serum creatinine (μmol/L), and Albumin level (g/L).
The germination rate of seeds is defined as the proportion of seeds that, when properly planted and watered, sprout and grow. A certain variety of grass seed usually has a germination rate of 0.80, and a company wants to see if spraying the seeds with a chemical that is known to change germination rates in other species will change the germination rate of this grass species. (a) Suppose the company plans to spray a random sample of 400 seeds and conduct a two-sided test of 0: 0.8Hpusing = 0.05. They determine that the power of this test against the alternative 0.75pis 0.69. Interpret the power of this test.(b) Describe two ways the company can increase the power of the test. What is a disadvantage of each of these ways? (c) The company researchers spray 400 seeds with the chemical and 307 of the seeds germinate. This produces a 95% confidence interval for the proportion of seeds that germinate of (0.726, 0.809). Use this confidence interval to determine whether the test described in…
For an initial investment of 100, an investment yields returns of Xi at the end of period i for i = 1,2, where X1 and X2 are independent normal random variables with mean 60 and variance 25. What is the probability the rate of return of this investment is greater than 10 percent?
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