AMS 5 Lecture 17: Class 17 - Random Samples
Premium

3 Pages
71 Views
Unlock Document

Department
Applied Math and Statistics
Course
AMS 5
Professor
Yonatan Katznelson
Semester
Spring

Description
AMS 5 Lecture 17 5152017 (8:009:05) WarmUp: PreCalculus ARWR = At Random, With Replacement Fact: x(1x) <= for all x o Quadratic function, opening down o Xintercepts: 0, 1 o [0][1] Box o Draw n tickets ARWR (at random with replacement) o EV(Sum) = n*Avg(box) = n*(proportion of [1]s in box) = n*p p is in between 0 and 1 o Sum = [1]s are obscure EV( of [1]s) = n*p o SE(Sum) = n 12* SD(box) = n 12* (p(1p))12 EV( of [1]s) = ? o EV([1]s)n*100 = npn*100 = p*100 = of [1]s in box SE( of [1]s) = ? o draw n tickets, will probably see: : EV( of [1]s) + SE( [1]s) : (EV( of [1]s) + SE( [1]s))n*100 12 12 12 12 = ( of [1]s in box) + (n *(p(1p)) )(n * n ) * 100 = p*100 + (p(1p)) n2 12* 100 SE() = (p(1p)) n2 1* 100 Observation: SE() <= 50n 12because (p(1p)) 1* 100 <= 50 for any P. Example: 400 tickets are drawn ARWR from a box with 40[1]s and 60[0]s o p = 40100 = .4 (proportion of [1]s) of [1]s in box = 40 o EV() = 40 o SE() = (.4*.6) 4002 1* 100 = 2.45 When drawing 400 tickets from this box, expect to observe:
More Less

Related notes for AMS 5

Log In


OR

Join OneClass

Access over 10 million pages of study
documents for 1.3 million courses.

Sign up

Join to view


OR

By registering, I agree to the Terms and Privacy Policies
Already have an account?
Just a few more details

So we can recommend you notes for your school.

Reset Password

Please enter below the email address you registered with and we will send you a link to reset your password.

Add your courses

Get notes from the top students in your class.


Submit