THE UNIVERSITY OF SYDNEY
Math1005 Statistics
Semester 2
Tutorial Week 9
2006
1. Multiple choice
A
p
-value of 0.02 means:
(a) there is 98% chance
H
0
true,
(b) there is 98% chance
H
1
true,
(c) there is strong evidence against
H
0
,
(d) the data are consistent with
H
0
.
(e) none of these
2. Multiple choice
X
1
, X
2
, . . . , X
36
represents a random sample from a distribution with
mean
μ
= 20 and standard deviation
σ
= 10. Indicate which of the following distributions
is a good approximation to the distribution of
¯
X
(=
1
36
summationdisplay
i
X
i
).
(a)
N
(20
,
10
2
).
(b) standard normal.
(c)
N
(20
,
10
/
36).
(d)
N
(20
,
36
/
10).
(e)
N
parenleftBig
20
,
10
2
36
parenrightBig
.
3. Multiple choice
X
is binomial with
n
= 100 and
p
= 0
.
4 Which of the following
normal distributions is a good approximation to the distribution of
X
?
(a)
N
(100
,
0
.
4).
(b)
N
(40
,
24).
(c)
N
(100
,
0
.
16).
(d) standard normal.
(e)
N
(
40
,
24
100
)
.
4.
The proportion of defective items produced by a factory is 0.1.
As part of the quality
control procedure, a random sample of 12 items is inspected daily.

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