An ultra-low particulate air filter is used to maintain uniform air flow in production areas in a

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An ultra-low particulate air filter is used to maintain uniform air flow in production areas in a clean room. In one such room, the mean air velocity should be at least \(40 \mathrm{~cm} / \mathrm{s}\). A simple random sample of 58 filters from a certain vendor were tested. The sample mean velocity was \(39.6 \mathrm{~cm} / \mathrm{s}\), with a standard deviation of \(7 \mathrm{~cm} / \mathrm{s}\). Let \(\mu\) represent the mean air velocity obtained from filters supplied by this vendor. Can you conclude that the mean is less than \(40 \mathrm{~cm} / \mathrm{s}\) ?

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