A tire manufacturerselected a random sample of 50 tires of a particular model ch

Question

A tire manufacturerselected a random sample of 50 tires of a particular model chosenfrom the past month’s production and used destructive testingto determine the tread life of each tire. The sample mean was42,300 miles and the sample standard deviation was 7,500 miles.What is the 95% confidence interval estimate for the tread life ofthat entire model produced in the past month? 40,221 < µ <44,379
35,175 < µ <49,425
27,600 < µ <57,000
27,228 < µ <57,372
40,169 < µ <44,431

Explanation / Answer

sample mean =42300= best estimate of population mean sample standard deviation = 7500= best estimate of populationstandard deviation 95% confidence interval sample mean -z.025/50

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