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Let et~ WN(0,2). State for each of the following model whether it is stationary and whether it is invertible. Explain your answer.
a) Zt= 1+ 0.5Zt-1 + et, t=1,2.3....
b) Zt= et - 1.5et-1 + 0.5et-2, t=1,2,3,
Compute a 99% confidence interval for the true average number of months taken by bankruptcy petitioners to acquire debts listed on their petitions.
A CBS News/New York Times poll found that 329 out of 763 adults said they would travel to outer space in their lifetime, given the chance. Estimate the true proportion of adults who would like to travel to outer space with 92% confidence.
A running coach wanted to see whether runners ran faster after eating spaghetti the night before. A group of six runners was randomly chosen for this study.
A building contractor pays $500 to bid on a contract. If he gets the contract, the probability of which he estimates to be 0.70, he will make a profit of $50,000.
State the decision rule and sketch it. (c) Find the test statistic. (d) Make a decision. (e) Use Excel to find the p-value and interpret it.
In order to do so, they review 42 service calls and construct a 95% confidence interval for population mean: (2.468, 2.743). What can we conclude about the significance test of Ho: mu = 2.6 vs Ha: mu does not equal 2.6?
Why is statistical significance not necessarily of practical important difference to a business decision? Give an example and explain.
Except that their bed production plant is set up to produce beds in 100 bed lots. How many beds should they produce each week to minimize total four week inventory cost?
What is the probability that the first and the last ones on the EP are the relationship songs?
$240 per hour for hours spent in court, $150 per hour for consultations, and $210 per hour for depositions. What is her averages per hour for this week?
Use the population mean and standard deviation to find the z-score corresponding to 14.5%, the rate offered by the Bar Harbor Bank and Trust Company. Is this above or below the average?
What is the probability of not getting any hits in a game and what is the probability of getting three hits in a game
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