The weight of Holstein cows in a farm has a standard deviation of 66.70 pounds. A random

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The weight of Holstein cows in a farm has a standard deviation of 66.70 pounds. A random sample of 50 cattle has a mean weight of 1420.90 pounds.
a) Why can we assume that the sample mean follows a normal distribution?
b) Construct the 99% confidence interval for the population mean.
c) Interpret the confidence interval found in 9.6b.

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