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.

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:

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:

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