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1. If a random variable X is distributed chi square with n degrees of freedom then the expected value of X is n. Show that this is true.
2. Suppose we have a random sample X1, X2, ...Xn from a distribution with mean µ and variance σ2. Let's compare two estimators in terms of their relative efficiency. The first estimator is the sample mean Xbar. The second estimator is the second observation in the sample, X2. Which one is more efficient? (hint: calculate the expected value and variance of both)
3. You are given the following information about the joint probability distribution of X and Y:
Y=1
Y=2
Y=3
X=0
0.25
0.1
0.05
X=1
0.3
0.2
Determine the following:
This question refers to the estimated regressions in table 1 computed using data for 1988 from the United States Current Population opinion poll.
The sales information for the Lonestar Sports Apparel Corporation for the last 12 years as follows:
A company's marketing dept. obtained information from 10 of the firm's outlets. The information consists of the qty. and price of the products sold at each outlet from the distribution center.
Determine the expected signs of the various coefficients and explain your reasoning.
Dr. Izobel Stevens is physician at the Westbury HMO, a New York City based medical facility serving the poor and indigent. Stevens is estimating the cost effectiveness of a preventive maintenance event,
Suppose you have been recently employed as manager of a restaurant and a very important credit card firm offers you a deal that is supposed to raise your sales.
When disparities exist from census information, housing starts data and other research data when seeking for information to help with predicting the power tool market
Wilpen Corporation, a price setting company, manufactures nearly 80% of all tennis balls purchased in the US. Wilpen estimates the US demand for its tennis balls by using the following linear specification:
Determine when a competitively produced product generates negative externalities in production, the industry will,
Wilpen Corporation, a price-setting company, manufactures nearly 80% of all tennis balls purchased in the United States.
A company experiences rising returns to scale; that is, doubling all its inputs more than doubles its output. What can be inferred about the company's short-run costs?
Despite very low growth of GDP in 2008 and 2009, and still high unemployment rate of 9.5 percent in June 2010.
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