For this case we have that by definition of trigonometric relations of rectangular triangles, that the sine of an angle is given by the opposite leg to the angle on the hypotenuse of the triangle. So:
Where h is the hypotenuse.
We cleared h:
We rationalize:
ANswer:
Option A
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
That is true. 4 and 5 are corresponding angles.
