Wayne collier designed an experiment to measure the fuel

Reference no: EM13644170

Wayne Collier designed an experiment to measure the fuel efficiency of his family car under different tire pressures. For each run, he set the tire pressure and then measured the miles he drove on a highway (I-95 between Mills River and Pisgah Forest, NC) until he ran out of fuel using 2 liters of fuel each time. To do this, he made some alterations to the normal flow of gasoline to the engine. In Wayne's words, "I inserted a T-junction into the fuel line just before the fuel filter, and a line into the passenger compartment of my car, where it joined with a graduated 2 liter Rubbermaid© bottle that I mounted in a box where the passenger seat is normally fastened. Then I sealed off the fuel-return line, which under normal operation sends excess fuel from the fuel pump back to the fuel tank." Suppose that you call the mean miles that he can drive with normal pressure in the tires ?. An unbiased estimate for ? is the mean of the sample runs, x. But Wayne has a different idea. He decides to use the following estimator: He flips a fair coin. If the coin comes up heads, he will add five miles to each observation. If tails come up, he will subtract five miles from each observation. (a) Show that Wayne's estimate is, in fact, unbiased. (b) Compare the standard deviation of Wayne's estimate with the standard deviation of the sample mean. (c) G iven your answer to (b), why does Wayne's estimate not make good sense scientifically?

Reference no: EM13644170

Questions Cloud

Determine the ph of an equilibrium aqueous mixture of 10 m : determine the ph of an equilibrium aqueous mixture of 1.0 m glycine gly and 0.5 m hcl assuming that pkdnan 9.8 for the

Lead pb has an electron configuration of xe6s2 4f14 5d10 : lead pb has an electron configuration of xe6s2 4f14 5d10 6p2. use this information to explain why it commonly forms 2

What horizontal distance b must the motorcycle travel to : each wheel of the motorcycle has mass mw 9 kg radius r 330 mm and moment of inertia i 0.8 kg-m2. the combined mass of

Three gases 800 of methane 180 of ethane and an unknown : three gases 8.00 of methane 18.0 of ethane and an unknown amount of propane were added to the same 10.0- container.

Wayne collier designed an experiment to measure the fuel : wayne collier designed an experiment to measure the fuel efficiency of his family car under different tire pressures.

Determine the temperature of the vehicle top when the air : a vehicle is to be parked over night in the open away from large surrounding objects. it is desired to know if dew or

Heights for college women are normally distributed with : heights for college women are normally distributed with mean 65 inches and standard deviation 2.7 inches. find the

Assuming that air contains 78 n2 21 o2 and 1 ar all by : assuming that air contains 78 n2 21 o2 and 1 ar all by volume how many molecules of each type of gas are present in 1l

In one case pressure is raised at tconstant then t is : water is heated from 100kpa 20 deg c to 1000kpa 200 deg c. in one case pressure is raised at tconstant then t is raised

User Account

All Pages