A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 157.8-cm and a standard deviation of 1.5-cm. For shipment, 50 steel rods are bundled together. Round all answers to four decimal places if necessary.

What is the distribution of X ? X ~ N(
What is the distribution of x¯ ? ¯xx¯ ~ N(
For a single randomly selected steel rod, find the probability that the length is between 157.7-cm and 157.9-cm
For part d), is the assumption of normal necessary yes or no



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