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Here are six measurements of the electrical conductivity of an iron rod. 10.06 9.87 10.03 10.14...

Here are six measurements of the electrical conductivity of an iron rod. 10.06 9.87 10.03 10.14 10.19 10.09 The iron rod is supposed to have conductivity 10.1. Do the measurements give good evidence that the true conductivity is not 10.1? The six measurements are an SRS from the population of all results we would get if we kept measuring conductivity forever. This population has a Normal distribution with mean equal to the true conductivity of the iron rod and standard deviation 0.1. Use this information to carry out a test, following the four-step process.

Math   Statistics-And-Probability   
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Answer #1

Measurements
10.06
9.87
10.03
10.14
10.19
10.09
Mean 10.0633
Stdev 0.1106
t statistic -0.8123
pvalue 0.4536

The excel formula is given below

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