Show that waynes estimate is in fact unbiased compare the

Assignment Help Basic Statistics

Reference no: EM13632466

Wayne Collier designed an experiment to measure the fuel efficiency of his family cat 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."

[Problem] Suppose that you call the mean miles that he can drive with normal pressure in the tires MU (mean). An unbiased estimate for MU is the mean of the sample runs, x-bar. 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.

(b), why does Wayne's estimate not make good sense scientifically?

Reference no: EM13632466

Questions Cloud

A pinball machine launches a 153 g ball with a : a pinball machine launches a 153 g ball with a spring-driven plunger. the game board is inclined at 9 degrees above the

Perform a sensitivity analysis on the following data : perform a sensitivity analysis on the following datapossible rampd costs for a phone company are best 20000 with a

The convective heat-transfer coefficients are ho 4 btuh : a deep freezer for hazardous chemicals is to be maintained at -20of to insure a safe environment for the chemicals. the

Calculate the work done in time t by the forces of : a particle of mass m slides without friction on a wedge of angle a and mass m that can move without friction on a

Show that waynes estimate is in fact unbiased compare the : wayne collier designed an experiment to measure the fuel efficiency of his family cat under different tire pressures.

The temperature and pressure of the stream entering the : a stream containing 57 mol n-octane and the remainder ethylene is to be separated by flash distillation. the molar

Determine the amount of mass that the submarine must take : a bathysphere used for deep-sea exploration has a radius of 1.51 m and a mass of 1.22 104 kg. to dive this submarine

In analysis of variance which of the following is true if : in analysis of variance which of the following is true if the f statistic is zero?a.all of the k sample means are

1 a study of commuting times reports the travel times to : 1. a study of commuting times reports the travel times to work of a random sample of 17 employed adults in new york

User Account

All Pages