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Sampling distribution of sample mean - standard deviation

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The mean weight of loads of coal placed in train cars by a loading machine is 43.0 tons with a standard deviation of 8.0 tons. Assuming that the weight of loads placed in the train cars by this loader are normally distributed, if a random sample of 9 loads is chosen for a weight check, find the probability that the mean weight of those loads is more than 40.60 tons.

Place your answer, rounded to four decimal places, in the blank. Simply provide the numerical value. For example, 0.1234 would be a legitimate entry.

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Solution Summary

The solution provides step by step method for the calculation of sampling distribution of sample mean. Formula for the calculation and interpretations of the results are also included.

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