Find the probability that random sample of size has mean


Assume that cans are filled so that the actual amounts have a mean of 15.00 oz. Arandom sample of 36 cans has a mean amount of 15.67 oz. The distribution of sample means of size 36 is normal with an assumed mean of 15.00 oz and a standard deviation of 0.09 oz.

a. how many standard deviations is the sample mean from the mean of the distribution of sample means? b. In general what is the probability that a random sample of size 36 has a mean of at least 15.67 oz? c. does it appear that the consumera are being cheated?

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Basic Statistics: Find the probability that random sample of size has mean
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