Phone bills from the residents of the city have a mean of $64 and a standard deviation of $9. Random samples of 100 phone bills are drawn from this population. Find the mean and standard error of the sampling distribution.
O mean is 6.4: standard error is 9
O mean is 64; standard error is 9
O mean is 6.4: standard error is.9
O mean is 64: standard error is.9

Mean of 64 and standard error of 0.9.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Phone bills from the residents of the city have a mean of $64 and a standard deviation of $9. Sample of 10.

By the Central Limit Theorem, the mean is 64 and the standard error is

So mean of 64 and standard error of 0.9.

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