The population of pop cans filled by a particular machine is known to be normally distributed with a mean of 12 ounces and a standard deviation of 0.16 ounces. Given this information, the sampling distribution of the sample mean, 
, for a random sample of 16 cans will also be normally distributed with a standard deviation equal to 0.04.
Definitions:
Social Security
A government program that provides financial support to people who are retired, disabled, or survivors of deceased workers.
Medicare
A federal health insurance program in the United States for people aged 65 and over, or for those under 65 with certain disabilities or conditions.
Federal Income Tax
The charge imposed by the IRS on the yearly income of individuals, corporations, trusts, and various legal bodies.
Discounted Note
A promissory note sold for less than its face value that will be worth its full value upon maturity.
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