Reference no: EM13833041

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                  F_os

Treatment                  744.00                        4

Error                          751.50                                                       15                                                     

Total                          1,495.50                                                     19                                                     

• 3.71
• 0.99
• 0.497
• 4.02

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