bank has kept records of the balances of its customers’ account, which is normally distributed with the average daily balance of $500 and standard deviation of $50.  (d) What is the probability that the sample mean of 36 randomly selected accounts will be between $350 and $400?  (e) If the population of the balances of customers’ accounts is not normally distributed, which, if any, of the questions above can you answer? Justify your answer.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A bank has kept records of the balances of its customers’ account, which is normally distributed with the average daily balance of $500 and standard deviation of $50. 

(d) What is the probability that the sample mean of 36 randomly selected accounts will be between $350 and $400? 

(e) If the population of the balances of customers’ accounts is not normally distributed, which, if any, of the questions above can you answer? Justify your answer. 

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