Part 3. Exploring Earthquake Magnitudes with technology Open the Earthquakes data set Canvas. Select a simple random sample of size 30. Scan the QR code to the right or click the link below for a step-by-step tutorial on selecting a simple random sample using StatCrunch. https://youtu.be/7jGJ2tG-doo ● ● ● ● Find the mean and standard deviation of magnitude of the earthquakes in your sample Min = ● X = 2.726 Find the five number summary of the magnitudes of the earthquakes in your sample Q₁ = Q3 2.82 2.5 Compute the following: S=0,28367782 0,26 IQR= 2.56 Q₂ = 2.665 we can use the interquattile range (IQR) method for identifying outliers. -0,3224 = Max = IQR 1.5 x IQR = IQR+ 1.5 x IQR = 0.4576 During the 1989 world series, a 6.9 magnitude earthquake struck the bay area.¹ In the context of the magnitudes considered here, is this magnitude an outlier? Explain why or why not. To determine if the magnitude of 6.9 from the 1989 world series earthquake is an outlier or not, Lower fence = Q1 - 1.5 x IQR Upper fence = Q3 +1.5 x IQR Substituting the given values, we get: Lower fence = 2.56 1.5 x 0.26 = 2.17 3.97 The IQR is 0.26, as given in the problem Upper fence = 2.82 + 1.5 x 0.26 = 3.21 statement. To find the fences for outlier detection, we can use the following formulas: Since the magnitude of the earthquake (6.9) is well beyond the upper fence (3.21), it is indeed an outlier. California's Great ShakeOut drill is based on a scenario involving a magnitude 7.8 earthquake.² In the context of the magnitudes considered here, is this magnitude an outlier? Explain why or why not. Upload your sample to this Canvas assignment as either a .SCS file, CSV file, or Excel format file.

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