Find the exact circumference of a circle with the given radius.
1 answer:
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Answer:
And the best answer on this case would be:
b) m = 4.635
Step-by-step explanation:
Let X the random variable of interest and we know that the confidence interval for the population mean is given by this formula:
The confidence level on this case is 0.9 and the significance
The confidence interval calculated on this case is
The margin of error for this confidence interval is given by:
Since the confidence interval is symmetrical we can estimate the margin of error with the following formula:
Where Upper and Lower represent the bounds for the confidence interval calculated and replacing we got:
And the best answer on this case would be:
b) m = 4.635
There is a relationship between confidence interval and standard deviation:
Where
is the mean, 
is standard deviation, and n is number of data points.
Every confidence interval has associated z value. This can be found online.
We need to find the standard deviation first:
When we do all the calculations we find that:
Now we can find confidence intervals:
We can see that as confidence interval increases so does the error margin. Z values accociated with each confidence intreval also get bigger as confidence interval increases.
Here is the link to the spreadsheet with standard deviation calculation:
https://docs.google.com/spreadsheets/d/1pnsJIrM_lmQKAGRJvduiHzjg9mYvLgpsCqCoGYvR5Us/edit?usp=sharing
Where
Every confidence interval has associated z value. This can be found online.
We need to find the standard deviation first:
When we do all the calculations we find that:
Now we can find confidence intervals:
We can see that as confidence interval increases so does the error margin. Z values accociated with each confidence intreval also get bigger as confidence interval increases.
Here is the link to the spreadsheet with standard deviation calculation:
https://docs.google.com/spreadsheets/d/1pnsJIrM_lmQKAGRJvduiHzjg9mYvLgpsCqCoGYvR5Us/edit?usp=sharing