Assume that cans are filled so that the actual amounts have a mean of 12.00 ounces.

Assume that cans are filled so that the actual amounts have a mean

of 12.00 ounces. A random sample of 36 cans has a mean amount of 12.33 ounces. The distribution of sample means of size 36 is normal with an assumed mean of 12.00 ounces, and those sample means have a standard deviation of 0.04 ounce.
How many standard deviations is the sample mean from the mean of the distribution of sample means?
In general, what is the probability that a random sample of size 36 has a mean of at least 12.33 ounces?
Does it appear that consumers are being cheated? Why or why not?

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