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A company produces steel rods. The lengths of the steel rods are normally distributed with a...

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 207.2-cm and a standard deviation of 2.3-cm. For shipment, 17 steel rods are bundled together. Round all answers to four decimal places if necessary.

What is the distribution of XX? XX ~ N(,)

What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)

For a single randomly selected steel rod, find the probability that the length is between 207.4-cm and 207.9-cm.

For a bundled of 17 rods, find the probability that the average length is between 207.4-cm and 207.9-cm.

For part d), is the assumption of normal necessary? YesNo

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orchestra answered 1 year ago
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