Question: I needed help with the following problem (rounded to 4 decimal places when appropriate): Proctor and Gamble reported that an American family of four washes

I needed help with the following problem (rounded to 4 decimal places when appropriate):

Proctor and Gamble reported that an American family of four washes an average of 2678 pounds of clothes each year. If the standard deviation of the distribution is 172.5 pounds, find the probability that the mean of a randomly selected sample of 55 families of four will be between 2530 and 2695 pounds.

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