1. Nintendo Sony would like to test the hypothesis that a difference exists in the average age of users of a Wii, a PlayStation, or an Xbox console game. The following data represent the age of a random sample of Wii, PlayStation, and Xbox users.
|
Wii
|
PlayStation
|
Xbox
|
|
37
|
26
|
31
|
|
31
|
21
|
20
|
|
47
|
24
|
38
|
|
29
|
24
|
31
|
|
36
|
25
|
30
|
The grand mean for these observations is ________.
Interaction between two factors can be examined using
- one-way ANOVA.
- randomized block ANOVA.
- two-way ANOVA.
- either one-way or two-way ANOVA.
2. Examine the following two-factor analysis of variance table:
|
Source
|
SS
|
df
|
MS
|
F-Ratio
|
|
Factor A
|
162.79
|
4
|
|
|
|
Factor B
|
|
|
28.12
|
|
|
AB Interaction
|
26231
|
12
|
|
|
|
Error
|
|
|
|
|
|
Total
|
1,298.74
|
84
|
|
|
Does the ANOVA table indicate that the levels of factor B have equal means? Use a significance level of 0.05.
- Fail to reject HO. Conclude that there is not sufficient evidence to indicate that at least two levels of Factor B have different mean responses.
- Reject HO. Conclude that there is sufficient evidence to indicate that at least two levels of Factor B have different mean responses.
- Fail to reject HO. Conclude that there is sufficient evidence to indicate that at least two levels of Factor B have different mean responses.
- Reject HO. Conclude that there is not sufficient evidence to indicate that at least two levels of Factor B have different mean responses.
3. Consider this partially completed one-way ANOVA table:
|
Source of Variation
|
SS
|
df
|
MS
|
F-ratio
|
|
Between Samples
|
|
3
|
|
|
|
Within Samples
|
405
|
|
|
|
|
Total
|
888
|
31
|
|
|
Fill in the ANOVA table with the missing values.
- SSB = 483, MSB = 161. F-ratio = 11.1309, Within Samples df = 28, MSW = 14.464
- SSB = 483, MSB = 161. F- ratio = 8.1629, Within Samples df = 28, MSW = 14.464 S
- SB = 483, MSB = 161, F-ratio = 8.1629, Within Samples df = 25, MSW = 14.464
- SSB = 504, MSB = 161, F-ratio = 8.1629, Within Samples df = 28, MSW = 14.464
4. Given the following ANOVA table (some information is missing), find the F statistic.
Source Sum of Squares df Mean Square F Fos
Treatment 744.00 4
Error 751.50 15
Total 1,495.50 19
5. The variation attributable to factors other than the relationship between the independent variables and the explained variable in a regression analysis is represented by
- regression sum of squares.
- error sum of squares.
- total sum of squares.
- regression mean squares.
Attachment:- statistic (1).docx