An instrument is properly calibrated if the mean measurement error is zero. In a sample of 49 measurements the sample mean of the error is 20 μV, with a standard deviation of 36 μV. We wish to form a test of whether or not the instrument is properly calibrated.
(a) State carefully an appropriate null hypothesis and the corresponding alternate hypothesis.
(b) Find the P value for the test.
(c) Is it plausible that the instrument is calibrated, or are you convinced that it is out of calibration? Explain your reasoning.
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