A biscuit manufacturer packs its biscuits into individual boxes using a machine. The weight is advertised on each box as 200 grammes. The machine has been operating for many years and is regularly inspected during production to ensure that it is operating correctly. A quality control worker at the factory has used historical data from many previous production runs. It is known that the weight of packed boxes follows a normal distribution with a mean weight of 200 grammes and a standard deviation of 2.1 grammes. During a particular production run, a quality-control worker randomly selects one box and finds that the weight is 208.1 grammes. Required Using the empirical rule and the data from the machine’s historical operational performance, determine whether this box weight of 208.1 grammes would be considered usual or unusual.
A biscuit manufacturer packs its biscuits into individual boxes using a machine. The weight is advertised on each box as 200 grammes. The machine has been operating for many years and is regularly inspected during production to ensure that it is operating correctly. A quality control worker at the factory has used historical data from many previous production runs. It is known that the weight of packed boxes follows a
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