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question- a packaging device is set to fill detergent powder packets
with a mean weight of 5 kg .the standered deviation is known to be
0.01kg.these are known to drift upward over a period of time due to
machine fault,which is not tolerable.a random sample of 100 packets is
taken and weighed.this sample has a mean weight of 5.03 kg and a
standard deviation of 0.21 kg .can we calculate that the mean weight
produced by the machine has increased ? use 5%level significance.

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A packaging device is set to fill detergent power packets with a mean weight of 5 Kg. The standard deviation is known to be 0.01 Kg. These are known to drift upwards over a period of time due to machine fault, which is not tolerable. A random sample of 100 packets is taken and weighed. This sample has a mean weight of 5.03 Kg and a standard deviation of 0.21 Kg. Can we calculate that the mean weight produced by the machine has increased? Use 5% level of significance.

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