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Anova: Two-Factor With Replication SUMMARY Background Ariel Calibri Total white background Count 10 10 10 30 Sum 3104 2525 2515 8144 Average 310.4 252.5
Anova: Two-Factor With Replication SUMMARY Background Ariel Calibri Total white background Count 10 10 10 30 Sum 3104 2525 2515 8144 Average 310.4 252.5 251.5 271.4667 Variance 1761.82222 2404.278 339.1667 2182.395 green background Count 10 10 10 30 Sum 2529 2410 2492 7431 Average 252.9 241 249.2 247.7 Variance 2439.21111 3104.222 1890.622 2332.7 pink background Count 10 10 10 30 Sum 2532 2349 2064 6945 Average 253.2 234.9 206.4 231.5 Variance 2407.28889 3810.989 818.9333 2567.569 Total Count 30 30 30 Sum 8165 7284 7071 Average 272.166667 242.8 235.7 Variance 2806.97126 2947.338 1391.114 ANOVA Source of Variation SS Sample Columns 24246.2889 22426.2889 Interaction 12182.1778 1224 df MS F P-value 12123.14 5.749643 0.004624 F crit 3.109311 11213.14 5.318058 0.00676 3.109311 3045.544 1.44441 0.226942 2.484441 Within 170788.8 81 2108.504 Total 229643.556 89 Please divide your post into the following sections with subtitles: Use descriptive statistics to summarize the data from Triple T's study. Based on descriptive statistics, what are your preliminary conclusions about whether the time spent by visitors to the Triple T website differs by background color or font? What are your preliminary conclusions about whether time spent by visitors to the Triple T website differs by different combinations of background color and font? Explain whether Triple T has used an observational study or a controlled experiment. Use the data from Triple T's study to test the hypothesis that the time spent by visitors to the Triple T website is equal for the three background colors. Include both factors and their interaction in the ANOVA model, and use a=.05. Please clearly specify null and alternative hypothesis in your post. Use the data from Triple T's study to test the hypothesis that the time spent by visitors to the Triple T website is equal for the three fonts. Include both factors and their interaction in the ANOVA model, and use a=.05. Please clearly specify null and alternative hypothesis in your post. Use the data from Triple T's study to test the hypothesis that time spent by visitors to the Triple T website is equal for the nine combinations of background color and font. Include both factors and their interaction in the ANOVA model, and use a=.05. Please clearly specify null and alternative hypothesis in your post. Discuss whether the results of your analysis of the data provide evidence that the time spent by visitors to the Triple T website differs by background color, font, or combination of background color and font. What is your recommendation?
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