In: Statistics and Probability
Result:
The lifetime of Brand A tires are distributed with mean 45,000 miles and standard deviation 4900 miles, while Brand B tiees last for only 36,000 miles on the average(mean) with standard deviation of 2010 miles. Niccoles Brand A tires lasted 37,000 miles and Yvettes Brand B tires lasted 35,000 miles. Relatively speaking, within their own brands, which driver fot the better wear?
z = (x-µ)/σ
Z score for Niccoles, z =(37000-45000)/4900 = -1.63
Z score for Yvettes, z =(35000-36000)/2010 = -0.50
Yvettes z score is larger than Niccoles z score.
Within their own brands, Yvettes is the better wear than Niccoles.