A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification
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A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the flow rate be more than \(5 \mathrm{gal}-\) lons per minute (gpm). In an initial study, eight runs were made. The average flow rate was \(6.5 \mathrm{gpm}\) and the standard deviation was \(1.9 \mathrm{gpm}\). If the mean flow rate is found to meet the specification, the pump will be put into service.
a. State the appropriate null and alternative hypotheses.
b. Find the \(P\)-value.
c. Should the pump be put into service? Explain.
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