A)Write the Initial probability matrix (hint: P0) B)Compute the 2-step transition probability Matrix P 2)
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- In terms of the model parameters, state the null hypothesis that, after controlling for sales and roe, ros has no effect on CEO salary. State the alternative that better stock market performance increases a CEO’s salary.In a continuous-time surplus model, the claim severity is distributed as BN(2, 0.4). Determine the Lundberg upper bound for the probability of ultimate ruin if the initial surplus is 2 and the prIn a continuous-time surplus model, the claim severity is distributed as BN(2, 0.4). Determine the Lundberg upper bound for the probability of ultimate ruin if the initial surplus is 2 and the premium loading factor is 0.25.emium loading factor is 0.25.In a public opinion survey, 60 out of a sample of 100 high-income voters and 40 out of a sample of 75 low-income voters supported a decrease in value-added tax, VAT. Conclude at the 5% level of significance that the population of voters favouring a VAT decrease differs between high- and low-income voters. (Where p1 is the proportion of all high-income voters who supported a decrease in VAT; p2 is the same for the low-income voters). The rejection region to test the above hypothesis at the 5% significance level (rounded off to two decimals) is: A. T < -1.96 B. T < -1.64 or Z > 1.64 C. Z < -1.96 or Z > 1.96 D. Z < -1.64 E. None of the preceding
- In a public opinion survey, 60 out of a sample of 100 high-income voters and 40 out of a sample of 75 low-income voters supported a decrease in value-added tax, VAT. Conclude at the 5% level of significance that the population of voters favouring a VAT decrease differs between high- and low-income voters. (Where p1 is the proportion of all high-income voters who supported a decrease in VAT; p2 is the same for the low-income voters). The rejection region to test the above hypothesis at the 5% significance level is: A. T < - 1.96 B. T < - 1.96 or Z > 1.64 C. Z< - 1.96 or Z > 1.96 D. Z < -1.64Find the critical value, the computed t-value, and whether to reject or accept the null hypothesis.A Texas Garden Center wants to store leftover packets of vegetable seeds from their spring sale to have for their fall sale, but the center is concerned that the seeds may not germinate at the same rate six months later. The manager randomly selects a packet of green bean seeds remaining from the spring sale and plants them as a test. Although the packet claims a germination rate of 92% of the seeds, only 171 of the 200 test seeds sprout. Is this evidence that the seeds have lost viability during their six months in storage?
- Show what correction (using the generalized least squares method) we should use if the form of heteroskedasticity was the following, show mathematically For both a) and b)In a study of exhaust emissions from school buses, the pollution intake by passengers was determined for a sample of nine school buses used in the Southern California Air Basin. The pollution intake is the amount of exhaust emissions, in grams per person per million grams emitted, that would be inhaled while traveling on the bus during its usual 18-mile18-mile trip on congested freeways from South Central LA to a magnet school in West LA. (In comparison, a city of 11 million people will inhale a total of about 1212 grams of exhaust per million grams emitted.) The amounts for the nine buses when driven with the windows open are given in the table. 1.15 0.33 0.40 0.33 1.35 0.38 0.25 0.40 0.35 A good way to judge the effect of outliers is to do your analysis twice, once with the outliers and a second time without them. Give the 90%90% confidence interval with all the data for the mean pollution intake among all school buses used in the Southern California Air Basin that…Select all the possible values of aa which makes AA stochastic.
- The average drying time of a manufacturer’s paint is 20 minutes. Investigating the effectiveness of a modifica-tion in the chemical composition of her paint, the manu-facturer wants to test the null hypothesis μ = 20 minutes against a suitable alternative, where μ is the average dry-ing time of the modified paint. (a) What alternative hypothesis should the manufactureruse if she does not want to make the modification in thechemical composition of the paint unless it decreases thedrying time?(b) What alternative hypothesis should the manufactureruse if the new process is actually cheaper and she wants tomake the modification unless it increases the drying timeof the paint?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).