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Traffic engineers are experimenting with two ideas. First is that erecting signs that say "Accident Reduction Project Area" along freeways will increase awareness and hence decrease accidents. Such signs may have the effect on traffic speed. Second idea is that metering flow of vehicles onto on-ramps will spread out entering traffic and lead to average increase in speed on freeway. Engineers perform the experiment to see how these two ideas influence average traffic speed.
First, twenty more-or-less equivalent freeway interchanges are selected spread well around the single metropolitan area and not too close to each other. Ten of these interchanges are selected at random to get "Accident Reduction Project Area" signs (in both directions); other ten receive no signs. Traffic lights are installed on all on-ramps to meter traffic. Traffic lights can be adjusted to need 3 or 6 seconds between entering vehicles. Average traffic speed 6:30-8:30 AM and 4:30-6:30 PM will be measured at each interchange on 3 consecutive Tuesdays, with our response being average of morning and evening speeds. At each interchange, three settings of traffic lights are allotted at random to three Tuesdays.
Examine the results using book's method and using more traditional split-plot method. Report conclusions. (Are they the same both ways?)
Use a 5% significance level to test the claim that there appears to be a difference in the effectiveness of the two diets.
When only the value-added time is considered, the time it takes to build a laser printer is thought to be uniformly distributed between 8 and 15 hours.
Assume that a hand of 12 cards is dealt from a normal deck of 52 playing cards. What is the probability that of the 12 cards, 3 will be diamonds, 3 will be clubs, 3 will be spades, and 3 will be hearts.
Finding probability for the given values of the uniform density curve
Roll a die and record the count of spots on the up face: P(1) = 0, P(2) = 1/6, P(3) = 1/3, P(4) = 1/3, P(5) = 1/6, P(6) = 0.
Students are the University of New Harmony received 10, 000 course grades last semester. The table below breaks down these grades by which school of the university taught the course.
Using the letter M for male and F forfemale. Define a second sample space S and where the elements represent the number of females selected.
Report a table of marginal means for each level of each of the three factors.
Sample with size n = 100 has mean = 30. Assuming the population standard deviation is 8, construct 95% confidence interval for population mean.
Find a 95% confidence interval for the true proportion of voters who approve of the way the government is being run.
Why might supposition of normal population be doubtful? Problem arises when?
A manufacturer claims that fewer than 6% of its fax machines are defective. In a random sample of 97 such fax machines, 4% are defective. Find the P-value for a test of the manufacturer's claim.
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