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id="flowPara51330">Let's do a two-sample t test to compare the difference in network latency to the US and the Netherlands:</flowPara><flowPara
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id="flowPara51431">Hypothesis</flowPara><flowPara
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id="flowPara51336">H<flowSpan
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id="flowSpan51338">0</flowSpan>: μ<flowSpan
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id="flowSpan51360">1</flowSpan> = μ<flowSpan
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id="flowSpan51366">2</flowSpan></flowPara><flowPara
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id="flowPara51340">H<flowSpan
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id="flowSpan51354">a</flowSpan>: μ<flowSpan
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id="flowSpan51362">1</flowSpan> &gt; μ<flowSpan
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id="flowSpan51364">2</flowSpan></flowPara><flowPara
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id="flowPara51356" /><flowPara
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id="flowPara51358">Where μ<flowSpan
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id="flowSpan51372">1</flowSpan> is the mean latency to the US and μ<flowSpan
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id="flowSpan51374">2</flowSpan> is the mean latency to the Netherlands. </flowPara><flowPara
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id="flowPara51435" /><flowPara
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id="flowPara51437">Conditions</flowPara><flowPara
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id="flowPara51439" /><flowPara
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id="flowPara51441">SRS: Let's assume the sample to be a simple random sample. </flowPara><flowPara
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id="flowPara51443">Independence: Because of randomisation, we are willing to take the two groups as independent samples. We are not sampling without replacement from a population of samples. </flowPara><flowPara
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id="flowPara51445">Normality: From the box plots, there are no visible outliers and the normality assumption seems reasonable. </flowPara><flowPara
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id="flowPara51449" /><flowPara
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id="flowPara51495">Calculation</flowPara><flowPara
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id="flowPara51493">(Performed using the code available on GitHub)</flowPara><flowPara
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id="flowPara51511" /><flowPara
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40.00000381px;line-height:129.99999523%;font-family:'Inter UI';-inkscape-font-specification:'Inter UI';text-align:start;text-anchor:start"
id="flowPara51509">t = 95.840</flowPara><flowPara
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id="flowPara51547">Using conservative estimate, df = 1037955 - 1 = 1037954</flowPara><flowPara
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id="flowPara4604">P-value = 0 (really close to zero)</flowPara><flowPara
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id="flowPara51513" /><flowPara
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id="flowPara51515">Conclusion</flowPara><flowPara
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style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40.00000381px;line-height:129.99999523%;font-family:'Inter UI';-inkscape-font-specification:'Inter UI';text-align:start;text-anchor:start"
id="flowPara4608">Since the P-value is less than 0.05, we reject H0 and conclude that there is sufficient evidence to suggest that the mean latency to the US is lower than the mean latency to the Netherlands. </flowPara><flowPara
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id="flowPara4610" /><flowPara
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40.00000381px;line-height:129.99999523%;font-family:'Inter UI';-inkscape-font-specification:'Inter UI';text-align:start;text-anchor:start"
id="flowPara4617" /><flowPara
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40.00000381px;line-height:129.99999523%;font-family:'Inter UI';-inkscape-font-specification:'Inter UI';text-align:start;text-anchor:start"
id="flowPara4619">We can generalise this to any two countries, by applying the same formula on different pairs of data. </flowPara><flowPara
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id="flowPara51427" /><flowPara
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id="flowPara51429">Limitations</flowPara><flowPara
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id="flowPara51527" /><flowPara
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id="flowPara51529">1. We had to assume it was a simple random sample. However, due to the way the scan was performed (it only scanned a select set of ports), it would be limited to a subsubset of servers (that expose the 5 most common ports). </flowPara><flowPara
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id="flowPara51531" /><flowPara
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id="flowPara51533">2. Due to time limitations, I did not filter out outliers. That will be done in the future when I allocate some time and have a drastic effect on the results. </flowPara><flowPara
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id="flowPara51537">3. The mapping from IP to geolocation is not perfect and can result in many invalid data points. There's no way to guaranteee acuracy.</flowPara></flowRoot> <g
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