A company that receives shipments of batteries tests a random sample of them before agreeing to take a shipment. The company is concerned about the true mean lifetime for all batteries in the shipment. Information from previous years shows   that the mean lifetime of the batteries is 70 hours. For one particular shipment of 150 batteries the mean lifetime was 68.2 hours and the standard deviation 9.8. Test at

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A company that receives shipments of batteries tests a random sample of them before agreeing to take a shipment. The company is concerned about the true mean lifetime for all batteries in the shipment. Information from previous years shows  

that the mean lifetime of the batteries is 70 hours. For one particular shipment of 150 batteries the mean lifetime was 68.2 hours and the standard deviation 9.8. Test at the 10% level of significance if the mean lifetime of all batteries in the shipment has now been reduced compared to previous years.

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