The type of alloy used in manufacturing electric wire is important in reducing resistance. It has been suggested that the use of one type of alloy can reduce the wire resistance by more than 0.05 ohm. An experiment was conducted two types of wire, one with the alloy added and a second without the allow added. The mean resistances of 32 samples of each type of wire resulted in a mean resistance of the wire with alloy added being 0.136 ohm and the resistance of the wire without the allow added was 0.083 ohm. The standard deviation associated with this type of experiment is known to be 0.0045 ohm. a) Test the claim that resistance of electric wire can be reduced by more than 0.05 ohm by adding an alloy to the wire. Use a significance value of 0.05. b) Verify the conclusion in part a) with the p-value c) Verify the conclusion in part a) with the appropriate confidence interval Note that in this problem, populations variances are KNOWN. Samples are large enough (greater than 30) that no assumptions are required about population distributions. Also note that Ao is not equal to zero

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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The type of alloy used in manufacturing electric wire is important in reducing resistance. It has
been suggested that the use of one type of alloy can reduce the wire resistance by more than 0.05
ohm. An experiment was conducted two types of wire, one with the alloy added and a second
without the allow added. The mean resistances of 32 samples of each type of wire resulted in a
mean resistance of the wire with alloy added being 0.136 ohm and the resistance of the wire
without the allow added was 0.083 ohm. The standard deviation associated with this type of
experiment is known to be 0.0045 ohm.
a) Test the claim that resistance of electric wire can be reduced by more than 0.05 ohm by adding
an alloy to the wire. Use a significance value of 0.05.
b) Verify the conclusion in part a) with the p-value
c) Verify the conclusion in part a) with the appropriate confidence interval
Note that in this problem, populations variances are KNOWN. Samples are large enough
(greater than 30) that no assumptions are required about population distributions. Also note that
Ao is not equal to zero
Transcribed Image Text:The type of alloy used in manufacturing electric wire is important in reducing resistance. It has been suggested that the use of one type of alloy can reduce the wire resistance by more than 0.05 ohm. An experiment was conducted two types of wire, one with the alloy added and a second without the allow added. The mean resistances of 32 samples of each type of wire resulted in a mean resistance of the wire with alloy added being 0.136 ohm and the resistance of the wire without the allow added was 0.083 ohm. The standard deviation associated with this type of experiment is known to be 0.0045 ohm. a) Test the claim that resistance of electric wire can be reduced by more than 0.05 ohm by adding an alloy to the wire. Use a significance value of 0.05. b) Verify the conclusion in part a) with the p-value c) Verify the conclusion in part a) with the appropriate confidence interval Note that in this problem, populations variances are KNOWN. Samples are large enough (greater than 30) that no assumptions are required about population distributions. Also note that Ao is not equal to zero
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