Question

Assume that cans of Coke are filled so that the actual volume are normally distributed with a mean of 12.00 fl oz and a standard deviation of 0.11 fl oz. Questions (a)--(d) are based on such a population distribution. (a) If the box we picked has an average volume of 12.01 fl oz per can, what is the sampling error of the mean? (b) If the box of 36 cans we picked has a total volume of 432.36 fl oz, what is the sampling error of the mean? (c) If the box of 36 cans we picked has an average volume of 12.03 fl oz per can, then what percentage of boxes in the supermarket have an average volume larger than the one we picked? (d) Among all the boxes in the supermarket (each contains 36 cans), the 80th percentile for the average volume per can is...

          Assume that cans of Coke are filled so that the actual volume
are normally distributed with a mean of 12.00 fl oz and a
standard deviation of 0.11 fl oz. Questions (a)--(d) are based on
such a population distribution.
(a) If the box we picked has an average volume of 12.01 fl oz
per can, what is the sampling error of the mean?
(b) If the box of 36 cans we picked has a total volume
of 432.36 fl oz, what is the sampling error of the mean?
(c) If the box of 36 cans we picked has an average volume
of 12.03 fl oz per can, then what percentage of boxes in
the supermarket have an average volume larger than the one we
picked?
(d) Among all the boxes in the supermarket (each contains 36
cans), the 80th percentile for the average volume per can is...

Added by Brianna A.

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