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Question: In a recent sample of 84 used car sales costs, the sample mean was $6,425 with a standard deviation of $3,156. Assume the underlying distribution is approximately normal.
a. Which distribution should you use for this problem? Explain your choice.
b. Define the random variable X ¯ in words.
c. Construct a 95% confidence interval for the population mean cost of a used car.
i. State the confidence interval.
ii. Sketch the graph.
iii. Calculate the error bound. d. Explain what a "95% confidence interval" means for this study.
Explain what is meant by subjective probability. Research the Internet, and provide a business-related example in which subjective probability assessment would likely be used (be sure to cite your sources).
Let An be an increasing sequence of σ-algebras whose union generates a σ-algebra S. Let µ and ν be probability measures on S such that ν is singular with respect to µ on S, but absolutely continuous with respect to µ on each
Based on these limited data, is there a relationship between age and average price of an Aston Martin? What are the limitations of this analysis? Can you think of some hidden variables that could affect what you are seeing in the data?
A firm finds the coefficient of correlation between y annual sales and y = annual expenditure on research and development to be r = +0.90. Comment on the likely direction of causation, if any, between these variables.
If the weekly average expenditure of all households is $53,000 but an expert argues that the weekly expenditure is more than $53,000, test his claim at a 5% level of significance and interpret your results.
Is there any evidence of a change in the performance of the lamps between the dates - If there is a difference, calculate the 95% confidence limits for the difference.
Suppose the bank decides to lower the cutoff score from 250 points to 200. Is that analogous to choosing a higher or lower value of for a hypothesis test? Explain.
Explain how an organization may choose between applying business process improvement versus business process reengineering to solving a process performance problem.
What is the expected value of playing roulette if you bet $18 on red ?
The minimum sample size needed in order for the union to be confident that its estimate is within of ? Suppose that the standard deviation of wages of foodservice workers in the U.S. is about .
What is the monetary certainty equivalent for the following gamble: gain $130 with probability 0.4, lose $320 with probability 0.6.
Explain how to test the hypothesis of no differences in the mean proportions of mouth fixations for the four background noise levels.
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