Question

The average number of miles (in thousands) that a car's tire will function before needing replacement is 69 and the standard deviation is 13. Suppose that 6 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? $X \sim N(69, \quad 13)$ b. What is the distribution of $\bar{x}$? $\bar{x} \sim N($ c. 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 73.6 and 78.1. d. For the 6 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 73.6 and 78.1. e. For part d), is the assumption that the distribution is normal necessary? Yes No

          The average number of miles (in thousands) that a car's tire will function before needing replacement is 69 and the standard deviation is 13. Suppose that 6 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution.
a. What is the distribution of X? $X \sim N(69, \quad 13)$
b. What is the distribution of $\bar{x}$? $\bar{x} \sim N($
c. 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 73.6 and 78.1.
d. For the 6 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 73.6 and 78.1.
e. For part d), is the assumption that the distribution is normal necessary? Yes No

The average number of miles (in thousands) that a car's tire will function before needing replacement is 69 and the standard deviation is 13. Suppose that 6 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution.
a. What is the distribution of X? X ∼ N(69, 13)
b. What is the distribution of x̅? x̅∼ N(
c. 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 73.6 and 78.1.
d. For the 6 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 73.6 and 78.1.
e. For part d), is the assumption that the distribution is normal necessary? Yes No

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