Based upon the following ANOVA table, computed using data on the time in seconds required by respondents of a survey to complete a multiple-choice response survey based on the display method of the answers. __ different display methods were considered. Is there sufficient evidence to conclude that the average time to complete the survey is not the same for the __ different display methods? An unequal number of samples from __ different display methods, for a total of 53 samples, was taken. You should note that the TOTAL DF is 52, which is N - 1, and error is N - k. Source df SS MS F P-Value Treatment/Between 2 2,412.48582 0.0585 Error/Within 20,062.0425 Total 52 22,474.52832
Based upon the following ANOVA table, computed using data on the time in seconds required by respondents of a survey to complete a multiple-choice response survey based on the display method of the answers. __ different display methods were considered. Is there sufficient evidence to conclude that the average time to complete the survey is not the same for the __ different display methods? An unequal number of samples from __ different display methods, for a total of 53 samples, was taken. You should note that the TOTAL DF is 52, which is N - 1, and error is N - k.
| Source | df | SS | MS | F | P-Value |
| Treatment/Between | 2 | 2,412.48582 | 0.0585 | ||
| Error/Within | 20,062.0425 | ||||
| Total | 52 | 22,474.52832 |
Questions to answer:
A) What do the treatments represent? How many treatments are there? Based on the information given in the problem setup, how do you know that is the number of treatments?
B) What is the degrees of freedom for Error? Explain two reasons, based on the problem setup and ANOVA table, that you know this is the value for dfE.
C) Calculate the MST (means square for treatment) and the MSE (means square for error). . Show your work.
D) Calculate the F-Statistic. Show your work.
E) Write the null and alternative hypothesis using correct notation. The question is stated in the problem setup.
F) Using a 5% significance level is there sufficient evidence to support the alternative hypothesis? Explain using the p-value.
G) Given a difference significant enough to warrant acceptance of the alternative hypothesis, can you conclude from the information provided that all three display methods have different average completion times? Explain your answer and reasoning.
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