BUS308 UAGC week 4 yellowdig

Prior to engaging in discussion in the Yellowdig community on the ANOVA Case Problem Touristopia Travel, ensure you have completed the Week 4 Learning Activity

Your are asked to critically think about the outcome from the data analysis in the Week 4 Learning Activity. In order to receive credit for your YellowDig work, the contributions to the community are to be posted during the week the activity is assigned, (Days 1-7).

In addition to the Topic Headers in YellowDig, here are some ideas that you can use for substantial YellowDig work.

Think about what you found in your analysis of the data.

What recommendations does your ANOVA results support?

What surprising findings did you come up with during your analysis?

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V
UAGC BUS 308 Week 4
Alecia kent
The University of Arizona Global
Statistics for Managers BUS 308
Victor Smolensky
June 21, 2024
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Summary
Aerial
Calibri
Tahoma
white background
Count
Sum
Average
10
104
310 .4
10
252. 5
252. 5
10
2515
251. 5
Variance
1761.822
Total
30
8144
271.
4667
2404. 278 339. 1667 2182.
395
green background Count
Sum
Average
Variance
10
10
10
30
2529.0
2410.0
2492.0
7431.0
252. 9
241
249. 2
247. 7
2439. 211 3104. 222 1890. 622 2332. 7
pink background Count
Sum
Average
Variance
10
10
10
30
2532.0
2349.0
2064.0
6945.0
253. 2
234. 9
206. 4
231. 5
2407. 289 3810. 989 818. 9333 2567.
569
Total
Total
Count
Sum
Average
Variance
30
30
30
8165.0
7284.0
7071.0
272. 1667 242. 80
235. 7
2806. 971 2947. 338 1391 .114
ANOVA
Source of Variation
Sample
Columns
Interaction
Within
SS
24246.29
22426.29
12182.18
170788.8
229 643. 6
df
2
2
4
81
89
MS
12123.14
11213.14
3045.544
2108.504
F
5.749643
5.318058
1.44441
P-value
0.004624
0.00676
0.226942
F cr
3.10
3.10
2.48
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The above statistics were obtained after running the ANOVA.
Regarding the background color, the Triple T website’s white background has the
longest time spent per visit. The above conclusion has been made since the average for white
backgrounds is 271.5, while the averages for pink and green backgrounds are 231.5 and
257.7, respectively. Regarding the font type, Triple T visitors spent more time using the
Aerial font. Aerial’s average is 272.2, while Tahoma’s and Calibri’s are 235.7 and 242.8,
respectively. Based on the above observations, it can be concluded that Ariel’s font and white
background could make Triple T’s visitors stay longer at the website compared to the other
fonts and backgrounds. Based on the sample data, visitors spent more time (310.4 seconds)
when the website had a combination of Ariel front and white background. However, the
visitors spent the least time on average (206.4 seconds) when the website had a combination
of Tahoma font and pink background. Little time was spent on Triple T’s website among
Tahoma, Ariel, and Calibri’s fonts when the background was green.
The company conducted a controlled experiment. I conclude that the above is because
the organization directed visitors randomly to various websites with different fonts and
background color combinations. The company then measured the time visitors spent on the
websites.
Based on the above ANOVA results, visitors’ time on the company’s website is
unequal for the three background colors. Based on the test statistic, F=5.75 with a p-value of
0.05>0.0046 significance level. Based on the results, it can also be concluded that the time
spent by visitors to the company’s website is not equal for Aerial, Calibri, and Tahoma’s fonts
as test statistic F= 5.32 with p value < 0. 05 significance level. However, there is inadequate evidence to show that the time spent by the company's visitors to the website is unequal for the nine combinations of font and background color, i.e., F= 1. 44, P value= 0. 2269> 0.05
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significance level.
Despite the combination of color and background not appearing to impact visitors’
time, the Aerial font and white background have the longest time spent with significant test
results. Therefore, I recommend that the company’s website should have