document.write( "Question 1181563: 1. A simple random sample is taken from a normal population. Choose the one statement that is
\n" ); document.write( "true.
\n" ); document.write( "a. We can never ensure that the distribution of the sample mean is normal or
\n" ); document.write( "approximately normal.
\n" ); document.write( "b. If the sample mean equals the population mean, then the distribution of the sample
\n" ); document.write( "mean must be normal or approximately normal.
\n" ); document.write( "c. We can be certain that the sample mean is normal or approximately normal only if the
\n" ); document.write( "sample size is greater than 30.
\n" ); document.write( "d. For any sample size, the distribution of the sample mean is normal or approximately
\n" ); document.write( "normal.
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Algebra.Com's Answer #811814 by Boreal(15235) $\"\"$ $\"About$

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This is D.
\n" ); document.write( "If the population is normal the distribution of sample means will be normal, too.
\n" ); document.write( "It doesn't need greater than 30, which is arbitrary and may be too much or too little.
\n" ); document.write( "Since the population mean may never be known, b is not the answer.
\n" ); document.write( "If a were true, we would not be able to do most statistical tests. \n" ); document.write( "

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