STA2020F 2006
CLASS TEST 1 SOLUTIONS
SECTION A:
1.
F
2.
F
3.
T
4.
T
5.
F
6.
T
7.
F
8.
T
[1 x 8 = 8]
SECTION B:
Question 1:
a.
H
0
: the average electricity consumption is the same for all seven days of the
week
H
1
:
at least 2 days of the week have average electricity consumptions which
differ
(2)
b.
Source of Variation
SS
df
MS
F
F crit
Between Groups
98.64
6
16.44
4.38
2.42
or
2.34
Within Groups
131.35
35
3.75
Total
229.99
41
(8)
c.
Test statistic:
F
= 4.38. Critical value: F
6, 30
= 2.42 and F
6, 40
= 2.34.
Since
F
=
4.38 > 2.42, reject H
0
. Therefore at least two of the population means for the
electricity consumption on different days of the week differ.
(2)
d.
normal distribution of data and equal variance of responses in each treatment
(2)
e.
H
0
: the data follows a normal distribution
H
1
:
the distribution of the data is nonnormal
(2)
f.
critical value = 0.137 or 0.14
(1)
g.
test statistic value of 0.112 not bigger than 0.137, therefore do not reject H
0
and conclude that there is not enough evidence to conclude that the data is not
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Three '09
 JAMES
 Normal Distribution, Variance, 2 days, 1%, average power consumption, 3.2%

Click to edit the document details