The initial pressures for bicycle tires when first filled

Chapter , Problem 15CR

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Problem 15CR

The initial pressures for bicycle tires when first filled are normally distributed, with a mean of 70 pounds per square inch (psi) and a standard deviation of 1.2 psi.

(a) Random samples of size 40 are drawn from this population, and the mean of each sample is determined. Use the Central Limit Theorem to find the mean and standard deviation of the sampling distribution of sample means. Then sketch a graph of the sampling distribution.

(b) A random sample of 15 tires is drawn from this population. What is the probability that the mean tire pressure of the sample is less than 69 psi?

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