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1. A plumbing contractor puts in bids on two large jobs. Let the event that the contractor wins the first contract be A and the event that the contractor wins the second contract be B. Which of the following Venn diagrams has shaded the event that the contractor wins exactly one of the contracts?
A.
B.
C.
2. A fifth grade teacher gives homework every night in both mathematics and language arts. The time to complete the mathematics homework has a mean of 30 minutes and a standard deviation of 10 minutes. The time to complete the language arts assignment has a mean of 40 minutes and a standard deviation of 12 minutes. The time to complete the mathematics and the time to complete the language arts homework has a correlation ρ = -0.3. The mean time to complete the entire homework assignmentA. is less than 70 minutes since the negative correlation tells you that more time on one assignment will be associated with less time on the second assignment.B. is 70 minutes.C. is greater than 70 minutes since the measurements are correlated which raises the mean regardless of the sign of the correlation.
In a regression analysis, three independent variables are used in the equation based on a sample of forty observations. What are the degrees of freedom associated with the F-statistic?
Of the 500 surveyed, 350 said they would vote for the Democratic incumbent. Using the 0.99 confidence coefficient, what are the confidence limits for the proportion that plan to vote for the Democratic incumbent?
The lifetime of a certain brand of tire has a mean of 43,000 miles and a standard deviation of 6,000 miles. The lifetime distribution closely follows a normal distribution. What proportion of tires will last less than 50,000 miles?
How would you describe a distribution? How are descriptions presented graphically and what are normal data and skewed data? How does this distinction play a part in statistical analysis?
Overall, 230 people correctly guess which is the low calorie product. Is there evidence of a difference in taste between the two products?
Standard deviations for first- and second-time and confidence interval
The average weight is 215 pounds and the standard deviation is 15 pounds. Approximately how many players had weights between 215 and 225 pounds?
Provide at least 1 example of how a real company has used each of the following multivariate techniques: factor analysis, multi-dimensional scaling, and cluster analysis.
Assuming that a plane make a safe flight if at least one-half of its engines run, determine whether a 4-engine plane or 2-engine plane has the higher probability for a successful flight.
Differentiate between descriptive statistics and inferential statistics. Provide an example for each. How does correlation analysis differ from regression analysis? What does a correlation coefficient reveal? Is correlation the same as causation?
Find the left and right critical values from the appropriate table for a 95% confidence interval for the mean when the sample size is 23.
What is the possible uses of regression and correlation analysis in doctoral-level research? Would I be able to use these techniques in my dissertation, or any application in other areas?
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