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The depletion time of a vital resource in a production process is believed to be normally distributed with a mean of p, = 39 minutes

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The depletion time of a vital resource in a production process is believed to be normally distributed with a mean of p, = 39 minutes and a standard deviation of 0' : 2.8 minutes. A recently appointed production team introduced new efficiencies that they claim make the depletion of the resource slower. To test this claim, a random sample ofn : 16 production shifts were taken and the observed mean depletion time of the resource was it : 39.7 minutes. a. In testing the production team's claim, select the appropriate alternative hypothesis, H1 or Ha: oaeggrr oa39 o a 72 39 o p. > 39.7 -:::- a

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