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Question 1: When does multicollinearity occur in a multiple regression analysis?
Choose the right answer:
a. The dependent variables are highly correlatedb. The independent variables are minimally correlatedc. The independent variables are highly correlatedd. The independent variables have no correlation
Question 2: Two chi-square distributions were plotted on the same chart. One distribution was for 3 degrees of freedom and the other was for 12 degrees of freedom. Which distribution would tend to approach a normal distribution?
a. 3 degrees
b. 12 degrees
c. 15 degrees
d. All would
For the following hypothesis test where H 0 : m £10 vs. H a : m >10, we reject H 0 at level of significance a and conclude that the true mean is greater than 10 when the true mean is really 8.
The value of "Z" chosen for constructing (calculating) the confidence interval estimate is determined by
Suppose that the mean systolic blood pressure of normal adults is 120 millimeters of mercury (mm Hg) and the standard deviation is 5.6. Assume the variable is normally distributed.
General Motors pays for employee education. The HR director would like to conduct a study on the average GPA of employees who have used this benefit to complete their degrees using a sample of education records over the past 10 years.
All welders in a factory begin as apprentices. Every year the performance of each apprentice is reviewed. Past records indicate that after each review, 10% of the apprentices are promoted to professional welder
Calculate the 95% confidence interval for the rate of positive tuberculin reaction separately for each of the two subpopulation, those with high exposure and those with low exposure.
The dean of students believes that teh costs are greater this semester. What is the test value for this hypothesis?
Construct a 95% confidence interval estimate for the mean yield of five-year certificates of deposit.
Develop a linear trend equation for the time series. Graph the time series and the linear trend equation. What appears to be happening to capital expenditures? What is the forecast one year, or four quarters, into the future?
Suppose you are a researcher who has collected and analyzed a sample of values. When you perform a hypothesis test the p-value is calculated to be 0.051. Would you reject or fail to reject the null hypothesis? Defend your choice.
What are the expected value and variance of the following probability distribution?
Provide two examples for each source of measurement error and include how each example might likely influence research results.
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