you work for an application specific integrated circuit foundry. you're checking the wafer thickness. ideal wafer thickness is 246um, with a standard deviation of 3.60. a sample of 44 wafers shows a sample average of 245.05 um. how many standard deviations from the mean that the mean is the sample average for a hypothesis test to determine if the wafer thickness is within specification. express your answer accurate to two decimal places.

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tutorconsortium645 tutorconsortium645 · Answer 1 · 2022-12-23T17:19:32+01:00

The sample mean is -0.0417 standard deviations from the population mean.

Standard deviation is a measure of the dispersion or spread of a set of data.

The mean, also known as the arithmetic mean or average, is a measure of the central tendency of a dataset.

(sample mean - population mean) / standard deviation

Plugging in the values from the problem, we get:

(245.05 - 246) / 3.60 = -0.15 / 3.60 = -0.0417

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