The manager of a warehouse monitors the volume of shipments made by the delivery

Question

The manager of a warehouse monitors the volume of shipments made by the delivery team. The automated tracking system tracks every package as it moves through the facility. A sample of 25 packages is selected and weighed every day. On the basis of contracts with customers, the mean weight should be
mu=22 pounds with =5 pounds.

Mark the statement below as True or False. If you believe that the statement is false, briefly say why you think it is false.

To have a small chance of for a Type II error, the manager of the warehouse should locate the control limits in the X-bar chart at 22±3 pounds.

Explanation / Answer

Yes, this statement is true

Here standard error = 5/SQRT(25) = 5/5=1

Control limits = (22+3*1, 22-3*1)

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