A machine that automatically controls the amount of ribbon on a tape has recently been installed. This

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A machine that automatically controls the amount of ribbon on a tape has recently been installed. This machine will be judged to be effective if the standard deviation

σ of the amount of ribbon on a tape is less than .15 cm. If a sample of 20 tapes yields a sample variance of S2 = .025 cm2, are we justified in concluding that the machine is ineffective?

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