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random sample of 30 tires, (i) (ii) Identify the distribution's mean, standard deviation and skewness. Justify your answer. Find the probability that if you buy one such tire, it will last only 57,000 or fewer miles.

random sample of 30 tires, (i) (ii) Identify the distribution's mean, standard deviation and skewness. Justify your answer. Find the probability that if you buy one such tire, it will last only 57,000 or fewer miles.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Q21 (a) (b) A tire manufacturer reported the failure rate of tire quality and measured the tire lifetime. The test of selected tires mean lifetime is normally distributed with a mean of 60,000 miles and a standard deviation of 3500 miles. For a random sample of 30 tires, (i) (ii) (ii) Identify the distribution's mean, standard deviation and skewness. Justify your answer. A cylindrical hole is drilled in a block in which the mean hole diameter is 9.70 mm and the variance is 0.35 mm. A cylindrical piston is placed in the hole where the mean diameter of the piston is 8.30 mm and the variance is 0.40 mm. Assume that both diameters are normally distributed. (i) (iii) Find the probability that if you buy one such tire, it will last only 57,000 or fewer miles. Find the probability that the piston will fit inside the hole with at least 0.10 mm clearance. Find the percentage of randomly selected piston and a block of hole will not fit together. If it is possible to adjust the mean hole diameter, determine the diameter value should be adjusted so that the clearance will be between 0.05 and 0.09 mm.
Transcribed Image Text:Q21 (a) (b) A tire manufacturer reported the failure rate of tire quality and measured the tire lifetime. The test of selected tires mean lifetime is normally distributed with a mean of 60,000 miles and a standard deviation of 3500 miles. For a random sample of 30 tires, (i) (ii) (ii) Identify the distribution's mean, standard deviation and skewness. Justify your answer. A cylindrical hole is drilled in a block in which the mean hole diameter is 9.70 mm and the variance is 0.35 mm. A cylindrical piston is placed in the hole where the mean diameter of the piston is 8.30 mm and the variance is 0.40 mm. Assume that both diameters are normally distributed. (i) (iii) Find the probability that if you buy one such tire, it will last only 57,000 or fewer miles. Find the probability that the piston will fit inside the hole with at least 0.10 mm clearance. Find the percentage of randomly selected piston and a block of hole will not fit together. If it is possible to adjust the mean hole diameter, determine the diameter value should be adjusted so that the clearance will be between 0.05 and 0.09 mm.
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