Summary: Math 502. 6­th Homework. Due Friday, April 18, 2008.
1. In a random sample of 300 persons eating lunch at a department store cafeteria,
only 102 had dessert. Find a 95 % level confidence interval for the average number
of people which take dessert at lunch using the following methods:
(i)
^p - z/2
^p(1 - ^p)

n
p ^p + z/2
^p(1 - ^p)

n
,
where ^p = ¯X.
(ii)
T
T + (n + 1 - T)F(2n + 2 - 2T, 2T, 2)
p
(T + 1)F(2T + 2, 2n - 2T, /2)

Source: Arcones, Miguel A. - Department of Mathematical Sciences, State University of New York at Binghamton

Collections: Mathematics