A manufacturer of office machines is considering the production of a new word processor. The decision to start large-scale productionof the new machines will be based on the comparison of the mean operating speed using the standard machines (µx) and the meanoperating speed using the new machines (µy). Since operators of the machine have varying abilities, a random sample of 20 typistswas selected and the speed of each typist in the sample was observed once using the new word processor and once using the standardword processor. The collected data on the speed (in minutes) are as follows:Typist (i)Standard Processor (Xi)123456.81060.258.759.460.361.760.264.163.262.457.8New Processor (Yi)57.257.456.458.560.161.461.960.46056.8Typist (i)Standard Processor (Xi)1112131415161718192055.461.264.764.162.965.869.356.458.563.7New Processor (Yi)50.258.463.560.562.266.368.556.658.360.2Assuming normality, compute a 95% confidence interval estimate for µx – µy.

Use paired t - test distribution, if you have paired measures on the same subject. In our case, we…

Answered: A manufacturer of office machines is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of eight ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain. BIG Corporation would like to estimate the mean amount of coffee, H, dispensed per cup by this machine. BIG will choose a random sample of cup amounts 00 dispensed by this machine and use this sample to estimate H. Assuming that the standard deviation of cup amounts dispensed by this machine is 0.43 ounces, what is the minimum sample size needed in order for BIG to be 95% confident that its estimate is within 0.07 ounces of µ? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (If necessary, consult a list of formulas.)

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