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A fellow researcher fits a simple linear regression model Yi = α + βXi + ui by least squares, but has doubts that the first least squares assumption E(ui |Xi) = 0 is correct for her data set. She decides to test for this assumption by calculating the residuals from her regression ûi = Yi - Yi and then performing the usual t-test of the null hypothesis that their (population) mean is zero, assuming the errors are normally distributed. Evaluate her strategy.
What is the probability of selecting an accounting major, given that the person selected is a male?
Testing for Population mean - determine if there has been a significant change in the population mean.
The response time for Denver police to respond to emergency calls is 8.4 minutes with a standard deviation 1.7 find the probability that the response time for a call between 5 and 10 minutes.
Using α = 0.05, does this sample provide enough evidence to conclude that the average utility bill in Delaware was lower in the winter of 2011-2012 than it was in the winter of 2010-2011?
Consider a binomial distribution with 15 identical trials, and a probability of success of 0.5. Use the normal approximation to find the probability that x = 2.
A customer wants delivery to be ensured between 10 am and 2 pm. Your truck leaves the factory at 4 am and time taken to reach the customer is normally distributed with an average of 8 hrs and a standard deviation of 1 hr.
Find an equation of the least squares regression line. Please show your work. Is there a linear correlation between "x" and "y" at the 0.01 significance level? Please justify your answer.
Compare and contrast internal and external validity. Describe and give examples of research questions for which external validity is a primary concern.
A survey is planned to determine the mean annual family medical expenses of employees of a large company. The management of the company wishes to be 95% confident that the sample mean is correct to within plus-or-minus $50 of the population mean.
A video rental store has two video cameras available for customers to rent. Historically, demand for cameras has followed this distribution:
Using the data for women, complete an analysis of CHD incidence in women similar to the one completed for men.
They both want to know what family member typically does the research about possible honeymoon destinations, and who primarily makes the decision on selecting the destination.
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