Define X as the height in meters of a randomly selected Canadian, where the selection prob-
ability is equal for each Canadian, and denote E[X] by h. Bo is interested in estimating h.
Because he is sure that no Canadian is taller than 3 meters, Bo decides to use 1.5 meters as
a conservative (large) value for the standard deviation of X. To estimate h, Bo averages the
heights of n Canadians that he selects at random; he denotes this quantity by H.
(a) In terms of h and Bo’s 1.5 meter bound for the standard deviation of X, determine the
expectation and standard deviation for H.
(b) Help Bo by calculating a minimum value of n (with n > 0) such that the standard
deviation of Bo’s estimator, H, will be less than 0.01 meters.
(c) Say Bo would like to be 99% sure that his estimate is within 5 centimeters of the true
average height of Canadians. Using the Chebyshev inequality, calculate the minimum
value of n that will make Bo happy.
(d) If we agree that no Canadians are taller than three meters, why is it correct to use 1.5
meters as an upper bound on the standard deviation for X, the height of any Canadian
selected at random?
in Statistics Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

Related questions

0 answers
asked Feb 26, 2013 in Statistics Answers by anonymous | 350 views
Welcome to, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
86,974 questions
95,835 answers
24,325 users