Calibrating a scale: Making sure that the scales used by businesses in the United States are accurate is the responsibility of the National Institute for Standards and Technology (NIST) in Washington, D.C. Suppose that NIST technicians are testing a scale by using a weight known to weigh exactly 1000 grams. The standard deviation for scale reading is known to be σ=3.0. They weigh this weight on the scale 54 times and read the result each time. The 54 scale readings have a sample mean of x=1001.0 grams. The calibration point is set too high if the mean scale reading is greater than 1000 grams. The technicians want to perform a hypothesis test to determine whether the calibration point is set too high. Use the α=0.05 as level of significance and the P-value method with the TI-84 calculator.
Calibrating a scale: Making sure that the scales used by businesses in the United States are accurate is the responsibility of the National Institute for Standards and Technology (NIST) in Washington, D.C. Suppose that NIST technicians are testing a scale by using a weight known to weigh exactly 1000 grams. The standard deviation for scale reading is known to be σ=3.0. They weigh this weight on the scale 54 times and read the result each time. The 54 scale readings have a sample mean of x=1001.0 grams. The calibration point is set too high if the mean scale reading is greater than 1000 grams. The technicians want to perform a hypothesis test to determine whether the calibration point is set too high. Use the α=0.05 as level of significance and the P-value method with the TI-84 calculator.
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