An electronics production sequence includes a process where a film of metal is deposited on a board. The film must be more than 1.000 mm thick. If the film is too thin the process fails. The engineer ran a test where the null hypothesis was that the mean thickness was at most 1.000 mm. A sample of 100 boards had a mean thickness of 1.007 mm and a standard deviation of 0.050 mm. At what level of significance would the null hypothesis be rejected? Express your answer at a decimal (not a percent) rounded to three places.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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An electronics production sequence includes a process where a film of metal is deposited on a board. The film must be more than 1.000 mm thick. If the film is too thin the process fails. The engineer ran a test where the null hypothesis was that the mean thickness was at most 1.000 mm. A sample of 100 boards had a mean thickness of 1.007 mm and a standard deviation of 0.050 mm.
At what level of significance would the null hypothesis be rejected? Express your answer at a decimal (not a percent) rounded to three places.

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