The average number of miles (in thousands) that a car's tire will function before needing replacement is 64 and the standard deviation is 11. Suppose that 6 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution.What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)If a randomly selected individual tire is tested, find the probability that the number of miles (in thousands) before it will need replacement is between 57.9 and 61.6. For the 6 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 57.9 and 61.6. For part d), is the assumption that the distribution is normal necessary? YesNo

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

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ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

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Problem 22SGR

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The average number of miles (in thousands) that a car's tire will function before needing replacement is 64 and the standard deviation is 11. Suppose that 6 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution.

What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
If a randomly selected individual tire is tested, find the probability that the number of miles (in thousands) before it will need replacement is between 57.9 and 61.6.
For the 6 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 57.9 and 61.6.
For part d), is the assumption that the distribution is normal necessary? YesNo

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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