The sample mean for these data is = 3.74 ounces. The dotplot below shows the
distribution of the sample mean weight of a donut for 500 random samples of size 10 taken
with replacement from the original sample.
tr...
25
35
Simulated sample mean of weight of donuts
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Distribution of Simulated Mean
# samples mean
SD
500 3.763 0.228
(a) Use the results of the simulation to approximate the margin of error for the estimate of
the mean weight of the donuts (ounces).
(c) Interpret the margin of error.

The margin of error is obtained as the ratio of the standard deviation and the square root of the sample size. It is a measure of the amount of difference that is expected to exist between the actual population value and the value obtained from the sample.

Margin of Error = ±0.01

Margin of Error can be calculated using the relation :

Margin of Error = σ/√n

Margin of Error = 0.228 ÷ √500 = 0.010

Therefore. the margin of error can be interpreted to mean that the value of the mean obtained from the sample is expected to differ from the mean of the population weight by ±0.01

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