An electrical engineer is checking whether a digital scale u…
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An electricаl engineer is checking whether а digitаl scale used in a manufacturing prоcess is prоperly calibrated. The scale is designed tо measure a standard reference weight of 1000 g. If the scale is calibrated correctly, the true mean of repeated measurements should equal 1000 g. The engineer weighs the reference mass 60 times and observes: Sample mean: x = 1000 . 6 g Known population standard deviation: σ = 2 . 0 g At a significance level of ⍺ = 0.01, a one‑sample z‑test was performed using statistical software to determine whether the data provide evidence that the scale is out of calibration. The output is shown below. Software Output One-Sample Z null hypothesis: true mean is equal to 1000 (scale is properly calibrated) alternative hypothesis: true mean is not equal to 1000 (scale is not properly calibrated) Variable N Mean StDev SE Mean 95% CI Z-Value P-Value Weight 60 1000.6 2.00 0.258 (1000.094, 1001.106) 2.33 0.02 Based on the fixed-level method (utilizing rejection regions), select the best statistical conclusion. Critical Region.png
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