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determine whether or not tractor cab manufacturers have been successful in developing quieter cabs

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Noise levels in the cabs of a large number of new farm tractors were measured ten years ago and were found to vary about a mean value of 76.5 decibels (db) with a variance of 72.43 db. A researcher conducted a survey of this year’s new tractors to determine whether or not tractor cab manufacturers have been successful in developing quieter cabs. In her final report, the researcher stated that the mean noise level in the cabs she studied was 74.5 db, and she concluded that there was only 12% probability of getting results at least this far different if there was no real deduction in noise level. Calculate the number of cabs that the researcher must have surveyed in order to have drawn this conclusion.

 
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