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 a1 = .10 a, = .10 level of significance? = .05 level of significance? b) What about at the az = .05 a, c) What is the p-value?

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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 a1 = .10 a, = .10 level of significance?
b) What about at the a2 = .05 a, = .05 level of significance?
c) What is the p-value?
Transcribed Image Text: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 a1 = .10 a, = .10 level of significance? b) What about at the a2 = .05 a, = .05 level of significance? c) What is the p-value?
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