Normal Distribution and Mean
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Normal Distribution and Mean

[From: ] [author: ] [Date: 11-04-24] [Hit: ]
From past experiences X is well approximated by a normal distribution with mean 45 and variance 100. If an auditor takes a random sample of 36 accounts what is the probability that the mean balance will be less than 45?A step-by-step explanation would be best! Thank you in advance!w/o the need for any calculation,ans = 0.......
Having a little Statistics homework trouble.

"Let X denote the outstanding balances of customers of a firm. From past experiences X is well approximated by a normal distribution with mean 45 and variance 100. If an auditor takes a random sample of 36 accounts what is the probability that the mean balance will be less than 45?"

A step-by-step explanation would be best! Thank you in advance!

-
mean of the sample = mean of the population

the q asks for P[< mean]

w/o the need for any calculation, we can say

ans = 0.5
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