# the cntral limit theorem

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• Aug 2nd 2007, 11:00 AM
mkcar
the cntral limit theorem
could you smart math people let me know if I did this question right.

The per capita consumption of soft drinks by people in the Unite States in a recent year was normally distributed with a mean of 49.3 gallons and a stardard deviation of 17.1 gallons. Random samples of size 25 are drawn from this poulation and the mean of ecah sample is determined.

I have 49.3 mean 17.1 = 3.4 gallons
square root of 25

please help me find out if this is right, thank you
• Aug 2nd 2007, 12:02 PM
CaptainBlack
Quote:

Originally Posted by mkcar
could you smart math people let me know if I did this question right.

The per capita consumption of soft drinks by people in the Unite States in a recent year was normally distributed with a mean of 49.3 gallons and a stardard deviation of 17.1 gallons. Random samples of size 25 are drawn from this poulation and the mean of ecah sample is determined.

I have 49.3 mean 17.1 = 3.4 gallons
square root of 25

please help me find out if this is right, thank you

Mean of the sample means will be equal to the population mean 49.3 gal.,
and the standard deviation of the means will be sigma/sqrt(sample size)=17.1/5=3.42 gal.

Please try to write your questions in English, it makes it more likely that you
will get an answer.

RonL