Solution To Stat1600 Test #2 Form A Math Worksheet With Answers Page 2
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1
2
3
4
5P (X
27) = P (X > 26.5)
26.5
24.7
P Z >
= P (Z > 0.42)
4.313
1
P (Z
0.42) = 1
.6628 = 0.3372.
26.5
10
15
20
25
27
30
35
= 1−0.6628
= 1 −
= 0.3372
0.42
0.42
z
z
3. According to Larsen, R. J., and Marx, M. L. (1986). An Introduction to Mathematical Statis-
tics and Its Applications. Second Edition. Prentice-Hall, Englewood Cliffs, New Jersey,
page 295:
There is a theory that the anticipation of a birthday can prolong a person’s life.
In a study set up to examine that notion statistically, it was found that only
60
of
747
people whose obituaries were published in Salt Lake City in 1975 died in the
three-month period preceding their birthday.
(a) (10 points) What percentage of people in Salt Lake City in 1975 died in the three-
month period preceding their birthday?
ANSWER (show your work):
60
ˆ p =
=
0.08
i.e., 8%.
747
(b) (10 points) Calculate the standard error for your estimate in (a).
ANSWER (show your work):
0.08
(1
0.08)
SE =
= 0.010 i.e., 1.0%.
747
(c) (10 points) Calculate a 95% confidence interval for the true percentage.
ANSWER (show your work):
2
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