CPUS made of two different materials are tested to see how they effect the processor speed of a computer. Specifically, material 1 is currently in use, but material 2 is acceptable. Since material 2 is cheaper, it should be adopted, providing it does not change the process yield. A test is run and results are obtained as follows. n = 8 8. 2.39 2.98 92.255 X2 92.733 Construct a 99% confidence interval for the difference of means under equal variance case.
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- Based on the Output 1, would you suspect the multicollinearityproblem in this model? Show all the necessary procedures.Workers at a particular mining site receive an average of 35 days paid vacation, which is lower than the national average. The manager of this plant is under pressure from a local union to increase the amount of paid time off. However, he does not want to give more days off to the workers because that would be costly. Instead he decides he should fire 10 employees in such a way as to raise the average number of days off that are reported by his employees. In order to achieve this goal, should he fire employees who have the most number of days off, least number of days off, or those who have about the average number of days off? a. He should fire employees who have the most number of days off. b. No matter who he fires, it will not increase the amount of paid time off. c. He should fire employees who have the average number of days off. d. He should fire employees who have the least number of days off.In a certain suburb of Montréal, residents have expressed their worries about the quality of the air. Of particular concern is the concentration (in μg/m3) of particulate matter smaller than 2.5 μm in size (PM2.5). The environmental standard is a PM2.5 concentration of 15 μg/m3 or less. 9-a) To conduct this study, Thomas installs 25 PM2.5 detectors at different locations in the suburban area. Each detector will provide one reading of PM2.5 concentration at a given time. With 25 detectors, what is the probability that Thomas declares the sample mean of PM2.5 concentrations significantly greater than the environmental standard while the population mean is 16 μg/m3? The population variance is assumed to be known and equal to 9. Use α = 0.01. 9-b) Thomas is interested to purchase a new and cheaper instrument to measure PM2.5 concentration. He is worried, however, that the precision of the new instrument may be lower than that of the current one. To be acceptable, the standard…
- A foreign car manufacturer advertises that its newest model, the Bullet, rarely stops at gas stations. In fact, they claimed that its EPA rating for highway driving is at least 32.5 mpg. However, the results of a recent independent study determined the mpg for 50 identical models of the Bullet, with these results: n = 50, x= 30.4 mpg, and s = 5.3 mpg.This report failed to offer any conclusion, and you have been asked to interpret these results by someone who has always felt that the 32.5 figure is too high. What would be your conclusion using a significance level of 5%?Z = 1.645The Boeing Company faces a critical strategic choice in its competition with Airbus Industries for the long-haul flight segment: Should it design and build a super-747 model that can carry 550 passengers at speeds around 350 mph, or a plane that can fly at 95 percent of the speed of sound but carry only about 350 passengers? As a member of Boeing's Planning Group, your task is to build a model to investigate the trade-offs involved in this decision.Compare the two separate scatterplots. In particular, how do the associtation compare between women with pets vs. women without pets? Does one group have more variation in systolic blood pressure than the other? If so, for which group? Does systolic blood pressure seem higher for common ages between the two groups? If so, for which group?
- A researcher has access to 100 participants for an independent sample design study, and she is hoping to achieve power = .80.What effect size will her data need to achieve to make that possible?People having Raynauds syndrome are apt to suffer a sudden impairment of blood circulation in fingers and toes. In an experiment to study the extent of this impairment, each subject immersed a forefinger in water and the resulting heat output (cal/cm2/min) was measured. For m = 12 subjects with the syndrome, the average heat output was x = 0.64, and for n = 12 non-sufferers, the average output was 2.05. Let µ1 and µ2 denote the true average heat outputs for the two types of subjects. Assume that the two distributions of heat output are normal with σ1 = 0.2 and σ2 = 0.2. 1) Consider testing H0: µ1 − µ2 = 0 versus Ha: µ1 − µ2 < 0 at level 0.01. Describe in words what Ha says, and then carry out the test. 2) What is the probability of a type II error when the actual difference between µ1 and µ2 is µ1 − µ2 = −1.2? 3) Assuming that m=n, what sample sizes are required to ensure that β=0.1when µ1− µ2 = −1.2?Researchers wanted to determine whether fence lizards learned to avoid fire ants. To determine this, they gathered lizards from eastern Arkansas (where there were no fire ants), and from southern Alabama (which had been invaded by fire ants). The lizards were then exposed to fire ants, and researchers measured how long (in seconds) it took the lizards to flee. The researchers observed that the lizards from Alabama had an average response time of 32 seconds, and the lizards from Arkansas had an average response time of 44 seconds. Using this, which of the following is closest to the P-value for this hypothesis test? Choice 1:0.5 Choice 2:0.005 Choice 3:0.05 Choice 4:1 Choice 5:0.01 Which is the correct choice and why?
- One effect of the pesticide DDT upon birds is to inhibit the production of the enzyme carbonic anhydrase, which controls calcium metabolism. It is believed that this causes eggshells to be thinner and weaker than normal and makes the eggs more prone to breakage. An experiment was conducted where 16 sparrow hawks were fed a mixture of 3 ppm dieldrin and 15 ppm DDT (a combination often found in contaminated prey). The first egg laid by each bird was measured, and the mean shell thickness was found to be 0.19 mm. A “normal” eggshell has a mean thickness of 0.2 mm. What are the null and alternative hypotheses?Ten years ago, the town of Easton decided to increase its annual spending on education so that its high school graduates would be able to earn higher wages. Now Easton has asked you to evaluate the effectiveness of the spending increase. Their data show that before the spending increase, the average annual salary of recent high school graduates was $25,000 and that now that average salary has risen to $28,500. Fortunately for your analysis, a neighboring community (Allentown) did not change its annual spending on education. Ten years ago, recent Allentown high school graduates earned an average of $22,500, and now that average is $23,750. (b) What underlying assumption do you have to make in order for your estimate to be valid? What might cause your underlying assumption to be invalid?Ten years ago, the town of Easton decided to increase its annual spending on education so that its high school graduates would be able to earn higher wages. Now Easton has asked you to evaluate the effectiveness of the spending increase. Their data show that before the spending increase, the average annual salary of recent high school graduates was $25,000 and that now that average salary has risen to $28,500. Fortunately for your analysis, a neighboring community (Allentown) did not change its annual spending on education. Ten years ago, recent Allentown high school graduates earned an average of $22,500, and now that average is $23,750. (a) Use a difference-in-differences estimator to determine whether Easton’s spending increase caused the wages of their high school graduates to increase. please provide an accurate answer.