NASA is interested in developing a special high-density disk drive for use in space. Following a competitive bidding process, Seagate Technologies was awarded the contract to develop the drive and given 90 days to provide an acceptable working prototype. At the end of the 90 days, Seagate unveils a drive that it claims has a mean seek time of less than 5.0 milliseconds (ms). To test Seagate's claim, a sample of 36 seek times will be observed. A test is then to be conducted at the 5% significance level of Ho : u25.0ms versus H4: µ<5.0ms. Assuming the standard deviation for seek times is known to be 0.5 ms (i.e., o = 0.5 ms), what is the "Power" of the test described above if the true mean seek time for the new drive is 4.8 ms, i.e., what of the probability of accepting Seagate's claim if the true mean seek time is 4.8 ms? Assuming the standard deviation for seek times is 0.5 ms (i.e., o = 0.5 ms), how large a sample is needed so that a 5% level test of Seagate's claim has power 0.90 if the true mean seek time for the new drive is 4.8 ms?

NASA is interested in developing a special high-density disk drive for use in space. Following a competitive bidding process, Seagate Technologies was awarded the contract to develop the drive and given 90 days to provide an acceptable working prototype. At the end of the 90 days, Seagate unveils a drive that it claims has a mean seek time of less than 5.0 milliseconds (ms). To test Seagate's claim, a sample of 36 seek times will be observed. A test is then to be conducted at the 5% significance level of Ho : u25.0ms versus H4: µ<5.0ms. Assuming the standard deviation for seek times is known to be 0.5 ms (i.e., o = 0.5 ms), what is the "Power" of the test described above if the true mean seek time for the new drive is 4.8 ms, i.e., what of the probability of accepting Seagate's claim if the true mean seek time is 4.8 ms? Assuming the standard deviation for seek times is 0.5 ms (i.e., o = 0.5 ms), how large a sample is needed so that a 5% level test of Seagate's claim has power 0.90 if the true mean seek time for the new drive is 4.8 ms?

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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