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proutyhaylee
14.07.2021 •
Mathematics
A laboratory tested n= 130 chicken eggs and found that the mean amount of cholesterol was 88 milligrams with -9 milligrams. Find the margin of error E corresponding to a 95% confidence interval for the true mean cholesterol content of all such eggs. Round your answer to the nearest tenth.
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Ответ:
The margin of error is of 1.5 milligrams.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Z-table as such z has a p-value of
.
That is z with a pvalue of
, so Z = 1.96.
Now, find the margin of error M as such
Standard deviation of 9
This means that![\sigma = 9](/tpl/images/1394/0152/eddb1.png)
Sample of 130
This means that![n = 130](/tpl/images/1394/0152/a500b.png)
Find the margin of error E corresponding to a 95% confidence interval for the true mean cholesterol content of all such eggs.
The margin of error is of 1.5 milligrams.
Ответ: