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Answer:
The formula to generate 70% confidence interval is: , in which
is the sample mean.
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 = 1.037.
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
Assume that body masses of Goldfinch birds follow a normal distribution with standard deviation equal to 0.04 oz.
This means that .
Sample of 10 birds:
This means that .
The margin of error is of:
The lower end of the interval is the sample mean of subtracted by M.
The upper end of the interval is the sample mean of added to M.
Then, the formula to generate 70% confidence interval is: , in which
is the sample mean.