You want to test the accuracy of a manufacturing process of a widget. You expect that each widget's diameter is 5 mm. You know that the manufacturing process is imperfect and your manufactured widgets actual diameter is normally distributed with mean 5mm. Suppose you are given a sample of three measurements. The sample average diameter is 7√√2 mm and the standard deviation is 7V2 mm. Compute a t-statistic to see if the difference in observed measurements is real or due to chance error. -1/9 0-1/7 √6 14 √3 21 7

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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You want to test the accuracy of a manufacturing process of a widget. You expect that each widget's diameter is 5 mm. You know that the manufacturing process is imperfect and
your manufactured widgets actual diameter is normally distributed with mean 5mm. Suppose you are given a sample of three measurements. The sample average diameter is
7√√2
mm and the standard deviation is 7V2 mm. Compute a t-statistic to see if the difference in observed measurements is real or due to chance error.
-1/9
0-1/7
√6
14
√3
21
7
Transcribed Image Text:You want to test the accuracy of a manufacturing process of a widget. You expect that each widget's diameter is 5 mm. You know that the manufacturing process is imperfect and your manufactured widgets actual diameter is normally distributed with mean 5mm. Suppose you are given a sample of three measurements. The sample average diameter is 7√√2 mm and the standard deviation is 7V2 mm. Compute a t-statistic to see if the difference in observed measurements is real or due to chance error. -1/9 0-1/7 √6 14 √3 21 7
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