b) Manufacturer B wants to compare the quality of current and improved designs by conducting another experiment by running a random sample of 12 tires for both designs until they wear out. The results from the experiment show that, the mean distance of the current design is 35,852 kilometres, with standard deviation of 4,122 kilometres. In contrast, the mean distance of the improved design is 35,954 kilometres, with standard deviation of 4,925 kilometres. At 5% significance level, is there any significance difference between the average wear of the current and improved designs? Assume the populations to be approximately normally distributed with equal variances.

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Author:Amos Gilat
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b) Manufacturer B wants to compare the quality of current and improved designs by conducting
another experiment by running a random sample of 12 tires for both designs until they wear
out. The results from the experiment show that, the mean distance of the current design is
35,852 kilometres, with standard deviation of 4,122 kilometres. In contrast, the mean
distance of the improved design is 35,954 kilometres, with standard deviation of 4,925
kilometres. At 5% significance level, is there any significance difference between the
average wear of the current and improved designs? Assume the populations to be
approximately normally distributed with equal variances.
Transcribed Image Text:b) Manufacturer B wants to compare the quality of current and improved designs by conducting another experiment by running a random sample of 12 tires for both designs until they wear out. The results from the experiment show that, the mean distance of the current design is 35,852 kilometres, with standard deviation of 4,122 kilometres. In contrast, the mean distance of the improved design is 35,954 kilometres, with standard deviation of 4,925 kilometres. At 5% significance level, is there any significance difference between the average wear of the current and improved designs? Assume the populations to be approximately normally distributed with equal variances.
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