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A study of 35 professors showed that the average time they spent creating test questions was 13.5 minutes per question. The standard deviation of the population is 3.8. Which of the following is the 99% confidence interval for the average number of minutes it takes to create a test question:a) 12.0 < U < 15.0
b) 11.8 < u < 15.2
c) 10.2 < u < 16.8
d) 12.7 < u < 14.3
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.
Create probability tree showing all marginal, conditional, and joint probabilities. Create a joint probability table.
Calculate the coefficient of determination, given that the linear correlation coefficient, r, is -0.625. What does this tell you about the explained variation and the unexplained variation of the data about the regression line?
An entomologist writes an article in a scientific journal, which claims that fewer than 7 in ten thousand male fireflies are unable to produce light due to a genetic mutation. Use the parameter p, the true proportion of fireflies unable to produce..
Correlation based on Scatter Plot - Draw the scatter plot for the variables.
Explain the distribution of mean of samples of size 15.
Recent crime reports indicate that 5.2 motor vehicle thefts occur each minute in the United States. Assume that the distribution of thefts per minute can be approximated by the Poisson probability distribution.
A fair coin was flipped three times and landed heads three times. What is the probability of a head on the next toss?
Using a separate 2 by 2 table, compute predictive value positive and predictive value negative for population of 1,000 drug users.
Conduct post hoc comparisons with the LSD method. Which groups differ significantly at α = 0.05?
A traffic study at one point on an interstate highway shows that vehicle speeds are normally distributed with a mean of 61.3 mph and a standard deviation of 3.3 mph.
Suppose a random sample of 25 swatches are selected. What is the probability that the mean of the sample is less than 235 pounds per square inch.
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