Asked by Misso
Exercise: Sample mean bounds
2 points possible (graded)
By the argument in the last video, if the Xi are i.i.d. with mean and variance sigma² , and if Mn=(X1+ ....+Xn)/n , then we have an inequality of the form
P(IMn-muI>=a.sigma²/n
for a suitable value of a .
a) If E=0.1, then the value of a is:
unanswered
b) If we change to E=0.1/k, fork>=1 (i.e., if we are interested in k times higher accuracy), how should we change n so that the value of the upper bound does not change from the value calculated in part (a)?
n should
stay the same
increase by a factor of k
increase by a factor of k²
decrease by a factor of k
none of the above
unanswered
2 points possible (graded)
By the argument in the last video, if the Xi are i.i.d. with mean and variance sigma² , and if Mn=(X1+ ....+Xn)/n , then we have an inequality of the form
P(IMn-muI>=a.sigma²/n
for a suitable value of a .
a) If E=0.1, then the value of a is:
unanswered
b) If we change to E=0.1/k, fork>=1 (i.e., if we are interested in k times higher accuracy), how should we change n so that the value of the upper bound does not change from the value calculated in part (a)?
n should
stay the same
increase by a factor of k
increase by a factor of k²
decrease by a factor of k
none of the above
unanswered
Answers
There are no human answers yet.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.