Over the past 5 years, the mean time for a warehouse to fill a buyer’s order has been 25 minutes

Over the past 5 years, the mean time for a warehouse to fill a buyer's order has been 25 minutes. Officials of the company believe that the length of time has increased recently, either due to a change in the workforce or due to a change in customer purchasing policies. The officials plan to take a random sample of 35 orders processed over the last month to determine if there is sufficient evidence to conclude the mean time to fill an order has increased, using a lecel of significance of 5 percent. a) Assuming that the population standard deviation for the time to fill an order is 12 minutes, compute the power of this sample to detect a 1 minute increase and a 5 minute increase in the mean time to fill an order. b) What sample size would be required to have 90% power (10% chance of type 2 error) to detect an increase of five minutes in the mean time to fill an order

 

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