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- If there is a first order positive autocorrelation in the error term in the equation and this is due to a specification error,which of the following is the best solution to overcome this problem? a)If there are variables that should be included in the equation but are not considered,these excluded variables are included or the mathematical form of the equation can be revised b)Autocorrelation may have occured due to the relationship between two explanatory variables.One or both of these variables must be removed from the equation c)The equation is estimated by the Maximum Likelihood method after taking the first difference d)Equation should be estimated by Generalized Least Squares - GLS methodIf the alleles A and B of the cystic fibrosis gene occur in a population with frequencies p and 1 - p (where pis between 0 and 1), then the frequency of heterozygous carriers (carriers with both alleles) is 2p(l - p). Which value of p gives the largest frequency of heterozygous carriers?To inspect the quality of the screens for mobile phones produced by Company X, two separate inspection devices are used to test the screens for defects. Basically, a specific screen is tested once using the two inspection devices. Device 1 can detect the presence of defects 99.3% of the time, whereas Device 2 can detect defects 99.7% of the time. Assume that the 2 devices are operating independently from each other. One day, four defective screens were sent for inspection. Let X represent the number of screens that will be correctly tagged as defective by Device 1, while Y represents the number of screens that will be correctly tagged as defective by Device 2. Are X and Y independent? explain
- Theorem 4-5Suppose a company charges a premium of $150 per year for an insurance policy for storm damage to roofs. Actuarial studies show that in case of a storm, the insurance company will pay out an average of $8000 for damage to a composition shingle roof and an average of $12,000 for damage to a shake roof. They also determine that out of every 10,000 policies, there are 7 claims per year made on composition shingle roofs and 11 claims per year made on shake roofs. What is the company’s expected value (i.e., expected profit) per year of a storm insurance policy? What annual profit can the company expect if it issues 1000 such policies? Determine the probability of a composition shingle roof claim out of 10,000 = ______ Determine the probability of a shake roof claim out of 10,000 = ______ How many claims are made out of 10,000? = _______ What is the probability of no claims out of 10,000? = _______ How much does each shingle roof claim cost the company, don’t forget each person pays $150…1. Gravetter/Wallnau/Forzano, Essentials - Chapter 5 - End of Chapter question 25 For each of the following, identify the exam score that should lead to the better grade. A score of X = 60 on an exam with µ = 72 and σ = 12, or a score of X = 70 on an exam with µ = 82 and σ = 8? X = 60 corresponds to z = , and X = 70 corresponds to z = . Therefore,both scores produce the same grade . A score of X = 85 on an exam with µ = 70 and σ = 10, or a score of X = 58 on an exam with µ = 49 and σ = 6? X = 85 corresponds to z = , and X = 58 corresponds to z = . Therefore,the better grade would be X = 85, µ = 70, σ = 10 . A score of X = 32 on an exam with µ = 24 and σ = 4, or a score of X = 26 on an exam with µ = 20 and σ = 2? X = 32 corresponds to z = , and X = 26 corresponds to z = . Therefore,the better grade would be X = 26, µ = 20, σ = 2 .
- A researcher wants to find the effect of a special diet on systolic blood pressure. A sample of 7 adults was selected to start them on this diet for 3 months. Based on this information, can it be stated that systolic blood pressure changes with the special diet? Based on the findings of the test carried out, it is possible to conclude that...... A. systolic blood pressure does not change with special diet B. systolic blood pressure changes with special diet C. systolic blood pressure is lower with the special diet D. systolic blood pressure is higher with the special diet E. It is not possible to conclude anything regarding systolic blood pressure with the special dietIf dfBetween = 3, dfWithin = 10, MSWithin = 34.19, MSBetween = 2.11, and α = .01 and two groups have three cases and two groups have four cases, what is Tukey's HSD value? (One will need to refer to a Tukey table of critical values to solve this.)The process for cleaning up waste in a nuclear reactor core room eliminates 85% of the waste present in the area. If there is 1.7 kg of waste in the room at the beginning of the monitoring period and 2 kg of additionalwaste are generated each week, determine a recurrence relation and initial conditions describing the amount wn, of waste in the core room at the end of week n of the monitoring period.