Questions from Econometrics

Q: A survey of 1000 registered voters are conducted, and the voters

A survey of 1000 registered voters are conducted, and the voters are asked to choose between candidate A and candidate B. Let p denote the fraction of voters in the population who prefer candidate A,...

Q: Let Y1 ……, Yn be i.i.d. draws

Let Y1 ……, Yn be i.i.d. draws from a distribution with mean m. A test of H0:  = 10 vs. H1:  ≠ 10 using the usual t-statistic yields a p-value of 0.07. a. Does the 90% confidence interval contain m =...

Q: In a given population, 50% of the likely voters are

In a given population, 50% of the likely voters are women. A survey using a simple random sample of 1000 landline telephone numbers finds 55% women. Is there evidence that the survey is biased? Explai...

Q: A new version of the SAT is given to 1500 randomly selected

A new version of the SAT is given to 1500 randomly selected high school seniors. The sample mean test score is 1230, and the sample standard deviation is 145. Construct a 95% confidence interval for t...

Q: In July, Lugano’s, a city in Switzerland, daily high

In July, Lugano’s, a city in Switzerland, daily high temperature has a mean of 65oF and a standard deviation of 5oF. What are the mean, standard deviation, and variance in degrees Celsius?

Q: Suppose that a plant manufactures integrated circuits with a mean life of

Suppose that a plant manufactures integrated circuits with a mean life of 1000 hours and a standard deviation of 100 hours. An inventor claims to have developed an improved process that produces integ...

Q: Suppose that a researcher, using data on class size (CS

Suppose that a researcher, using data on class size (CS) and average test scores from 50 third-grade classes, estimates the OLS regression: a. A classroom has 25 students. What is the regressionâ...

Q: Suppose Yi = 0 + 1Xi + ui, where

Suppose Yi = 0 + 1Xi + ui, where (Xi, ui) are i.i.d. and Xi is a Bernoulli random variable with Pr (X = 1) = 0.30. When X = 1, ui is N (0, 3); when X = 0, ui is N (0, 2). a. Show that the regression...

Q: Consider the regression model Yi = 0 + 1Xi +

Consider the regression model Yi = 0 + 1Xi + ui. a. Suppose you know that 0 = 0. Derive a formula for the least squares estimator of 1. b. Suppose you know that 0 = 4. Derive a formula for the le...

Q: a. Show that the regression R2 in the regression of Y

a. Show that the regression R2 in the regression of Y on X is the squared value of the sample correlation between X and Y. That is, show that R2 = r2XY. b. Show that the R2 from the regression of Y o...