Answer Key
1. p is approximately normal with p 0.07 , p 0.02 . b) P( p 8%) 0.3085 .
2. .
a) P( X 60) 0.1403 .
b) P(60 X 66) 0.5512 .
c) x 66.66.
d) x 65.06
e) x 67.30.
3. t0 1.95 and rejection region is (,1.304] . Thus, reject H 0 .
4. P-value 11.31%, but
QUIZ ONE
1. According to a CNN report, 7% of the population do not have traditional phones and instead rely on
only cell phones. Suppose a random sample of 200 telephone users is obtained.
a) Describe the sampling distribution of the sample proportion of
Let V be a veeter space and T E £(V) such that T3 = T.
a) Which are the possible eigenvalues of T?
b) Prove that range[T) nai.i[T) :
Assume new that V is 'nite diinensiehal with dim[V) : n.
e) Preve that naiMT) EB sange[T) : V.