QUESTION 1 Consider the AR(1) process X= 0.6 X1+ Z. Assume that you have two observations of this process X, =5 and X2=3. Find the likelihood estimator of .
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Q: QUESTION 3 An extreme Type Il random variable X has parameters u = 6.5 a
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Q: Question 27: Suppose that Y,Y,..,Y, are independent and identically distributed normal random…
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Q: Question 8 For a given population, suppose we wish to test Ho: u=24 versus H > 24 at x- 0.05. If we…
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Q: chapter 8 question 11 suppose a simple random sample size of size n= 15 is obtained from a…
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Q: In hypothesis testing, the decision rule is based on calculated versus critical value(s) for the
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Q: Question 35 By Laws of Expected Value and Variance, determine E(Z) and V(Z) if Z = 4X+ 1. A E(Z) =…
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Q: Question 23. (a) Use the expectation operator to show that for any random variable Y, Var(Y) = E(Y²)…
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Q: Question 7 out of 9. Using these data below, what is the t statistic for a single-sample t test…
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Q: Question 8: Consider a random sample X₁, X2, ..., X, from the pdf f(x; 0) = (0+1)xº 0≤x≤1 where 0>…
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Q: Example 17-20. A random sample x1, x2, ..., X, is taken from a normal population with mean zero and…
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A: Given that, mean = μ = 30 standard deviation = σ=variance= 25 = 5
Q: QUESTION 1 Consider the following ARMA model for {y,}: ',=a,+ 2 j=1 +E,+ l=1 where {e) is the…
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Q: Question 7: Let X be a random variable such that E(X- 2)2 = 10 and E(X + 1)² = 4, then a. E(X) = -;…
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Q: claim that the proportion of people who are confident is larger than 60% at the 0.10 significance…
A: Given : n=100 , p-hat=0.61 , p0=0.60 , α=0.10 We want to test the claim that the proportion of…
Q: Question 9: A manufacturer of a certain brand of rice cereal claims that the average saturated fat…
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Q: Question 22 In a linear regression model, the error term ɛ is assumed to be a random variable with a…
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.QUESTION 12 Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new-car buyers that trade in their old car has statistically significantly decreased, what can you conclude concerning the null hypothesis? Reject the null hypothesis Fail to reject the null hypothesisQuestion 3 A product is classified according to the number of defects it contains and the factory that produces it. Let X and Y be the random variables that represent the number of defects per unit (taking on possible values of 0, 1, 2, or 3) and the factory number (taking on possible values 1 or 2), respectively. The entries in the table represent the joint possibility mass function of a randomly chosen product.
- Question 2 Ignore the term "maximum likelihood"Question 9 A well-known brokerage firm executive claimed that 60% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 100 people, 61% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is larger than 60% at the 0.10 significance level.The null and alternative hypothesis would be: H0:μ≤0.6H0:μ≤0.6H1:μ>0.6H1:μ>0.6 H0:p≥0.6H0:p≥0.6H1:p<0.6H1:p<0.6 H0:p≤0.6H0:p≤0.6H1:p>0.6H1:p>0.6 H0:μ≥0.6H0:μ≥0.6H1:μ<0.6H1:μ<0.6 H0:μ=0.6H0:μ=0.6H1:μ≠0.6H1:μ≠0.6 H0:p=0.6H0:p=0.6H1:p≠0.6H1:p≠0.6 The test is: left-tailed right-tailed two-tailed The test statistic is: (to 2 decimals)The p-value is: (to 4 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesisQuestion 17: A well-known brokerage firm executive claimed that 90% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 100 people, 81% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is smaller than 90% at the 0.05 significance level.The null and alternative hypothesis would be: H0:p≤0.9H0:p≤0.9H1:p>0.9H1:p>0.9 H0:μ≤0.9H0:μ≤0.9H1:μ>0.9H1:μ>0.9 H0:μ≥0.9H0:μ≥0.9H1:μ<0.9H1:μ<0.9 H0:μ=0.9H0:μ=0.9H1:μ≠0.9H1:μ≠0.9 H0:p=0.9H0:p=0.9H1:p≠0.9H1:p≠0.9 H0:p≥0.9H0:p≥0.9H1:p<0.9H1:p<0.9 The test is: two-tailed right-tailed left-tailed The test statistic is: (to 3 decimals)The p-value is: (to 4 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
- QUESTION 12 Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new-car buyers that trade in their old car has statistically significantly decreased, what can you conclude concerning the null hypothesis?Question 13 A 2011 survey, by the Bureau of Labor Statistics, reported that 91% of Americans have paid leave. In January 2012, a random survey of 1000 workers showed that 89% had paid leave. The resulting p-value is .0271; thus, the null hypothesis is rejected. It is concluded that there has been a decrease in the proportion of people, who have paid leave from 2011 to January 2012. What type of error is possible in this situation? type I type II neither bothQuestion 6 A researcher wishes to test the claim that on average more juvenile than adults are classified as missing persons. Records of the last five years are shown. At α = 0.05 is there sufficient evidence to support the claim? Juveniles: 65,513 65,934 64,213 61,954 59,167 Adults: 31, 364 34,478 36,937 35,946 38,209 a. Formally state (write in symbols) the hypotheses b. Is this a univariate or a bivariate analysis? Can you state it in terms of dependent and independent variables? Using the Computer printout below answer the following question: c. What is standard error of the difference under the assumption of variance equality? __________ ___________ d. What is the value of the t statistic under the assumption of equality of variances. e. What is the value of difference between the means under the assumption of equality of…
- 1. Consider the following time series: a. Construct a time series plot. What type of pattern exists in the data? b. Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series.question 27 59% of students entering four-year colleges receive a degree within six years. Is this percent smaller than for students who play intramural sports? 124 of the 243 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.05? The null and alternative hypotheses would be: Ho: p= (please enter a decimal) H1: p< (Please enter a decimal) 2.The test statistic _______ (please show your answer to 3 decimal places.) 3.The p-value = ______ (Please show your answer to 4 decimal places.)Question 1-Part 1 Use a 1% level of significance to test the claim that ρ < 0 (i) What are the null and alternative hypotheses? a.) H0: ρ = 0 and H1: ρ < 0 b.) H0: ρ = 0 and H1: ρ > 0 c.) H0: ρ < 0 and H1: ρ > 0 d.) H0: ρ > 0 and H1: ρ < 0 Part 2 (ii) Use a 1% level of significance to test the claim that ρ < 0 and what is the t-statistic? a.) -7.03 (d.f.=5) b.) -10.07 (d.f.=6) c.) -10.07 (d.f.=5) d.) -7.03 (d.f.=6) Part 3 (iii) Use a 1% level of significance to test the claim that ρ < 0 and what is the p-value? a.) .0005 < p-value < .005 b.) p-value < .0005 c.) .010 < p-value < .025 d.) .005 < p-value < .010 Part 4 (iv) Use a 1% level of significance to test the claim that ρ < 0 and what is your conclusion based on the p-value? a.) At the 1% level of significance, we reject the null hypothesis. We have enough evidence to conclude that the population correlation coefficient between the depth of dive and the optimal time is negative.…