Question: Suppose the NIST technicians are testing a scale using weight Known to weigh exactly 1000 grams they weigh this weight on the scale 50 times

Suppose the NIST technicians are testing a scale using weight Known to weigh exactly 1000 grams they weigh this weight on the scale 50 times and read results each time. The 50 scale readings have a sample mean of x= 1000.6 grams the scale is out of calibration if the mean scale reading differ from 1000 grams. The technicians want to perform a hypothesis test to determine whether the scale is out of calibration

1. State a appropriate null and alternate hypothesis

2. Standard deviation of scale reading is known to be = 2 compute to value of test statistics

3. State a conclusion on use the a= 0.05 level of significance

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