Answered: company is considering purchasing an…

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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1. A company is considering purchasing an expensive piece of machinery which it hopes will reduce the amount of time it takes to manufacture its product, but which might actually have the reverse effect and increase (slow down) production time. Currently (without the new machine), it takes an average of 55.5 seconds to manufacture the product. The company decides to test the new machine for a few days to see whether it speeds up or slows down production. a) State the null and the alternative hypotheses that the company wishes to test. b) With α ≤ .05, state the decision rule. c) The company randomly selects 50 of the products made by the new machine and finds that these took an average of 54 seconds to make, with a standard deviation of 6.5 seconds. Test the company's hypotheses and make a decision/conclusion about them. d) Use the sample data from part 'c' to form a 99% confidence interval to estimate the mean time of production of the population of products that could be made by the new machine. Answers: 1c) Z = -1.632, do not reject H0, no evidence that the new machine is faster or slower than what was used before, d) 51.63 to 56.37

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