The means of the number of revolutions per minute of two competing engines are to be compared. Thirty engines of each type are randomly selected and tested. Both populations are assumed to have normal distributions. The table below shows the result. Do the data indicate that Engine 2 has different RPM than Engine 1? Justify by using a confidence interval or a hypothesis test with α = 0.05. Justify fully. What type of error are you in danger of making? Engine Sample Mean Standard Deviation 1 1625 50 2 1650 60

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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  1. The means of the number of revolutions per minute of two competing engines are to be compared. Thirty engines of each type are randomly selected and tested. Both populations are assumed to have normal distributions. The table below shows the result. Do the data indicate that Engine 2 has different RPM than Engine 1? Justify by using a confidence interval or a hypothesis test with α = 0.05. Justify fully. What type of error are you in danger of making?

Engine

Sample Mean

Standard Deviation

1

1625

50

2

1650

60

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