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Introduction to Probability and Statistics for Engineers and Scientists | 5th Edition | ISBN: 9780123948113 | Authors: Sheldon M. Ross
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In a certain chemical process, it is very important that a particular solution that is to be used as a reactant have a pH of exactly 8.20. A method for determining pH that is available for solutions of this type is known to give measurements that are normally distributed with a mean equal to the actual pH and with a standard deviation of .02. Suppose 10 independent measurements yielded the following pH values: 8.18 8.17 8.16 8.15 8.17 8.21 8.22 8.16 8.19 8.18 (a) What conclusion can be drawn at the = .10 level of significance? (b) What about at the = .05 level of significance?

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QUESTION:

In a certain chemical process, it is very important that a particular solution that is to be used as a reactant have a pH of exactly 8.20. A method for determining pH that is available for solutions of this type is known to give measurements that are normally distributed with a mean equal to the actual pH and with a standard deviation of .02. Suppose 10 independent measurements yielded the following pH values: 8.18 8.17 8.16 8.15 8.17 8.21 8.22 8.16 8.19 8.18 (a) What conclusion can be drawn at the = .10 level of significance? (b) What about at the = .05 level of significance?

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Null hypothesis

Alternative hypothesis,

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