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The Hill of Tara in Ireland is a place of great archaeological importance. This region has been occupied by people for more than 4,000 years. Geomagnetic surveys detect subsurface anomalies in the earths magnetic field. These surveys have led to many significant archaeological discoveries. After collecting data, the next step is to begin a statistical study. The following data measure magnetic susceptibility centimeter-gram-second × 106 on two of the main rids of the H of Tara Reference: Tara An Nchaeolo cal Survey by Conor Newnan, Royal Irish Academy, Dublin). Grid E:x variable 30.42 31.16 37.08 7.8536.71 12.29 14.14 24.50 31.90 15.25 30.79 12.29 11.55 31.16 Grid H: y variable 25.04 27.86 49.01 50.42 48.07 22.69 16.58 38.20 29.27 13.29 10.47 35.85 47.13 42.43 (a) Compute Σχ. Σχ, ΣΥ. Σy2. (Enter you r answers to 2 decimal places.) Sy Sy? (b) Use the results of part (a) to compute the sample mean , variance, and standard deviation for x and for y. (Enter your answers to 2 decimal places.) (c) Compute a 75% Chebyshev interval around the mean for x values and also for y values. (Enter your ahswers to 2 decimal places.) Lower Limit Upper Limit re the maanetic susceptibility on the two grids. Higher numbers indicate higher magnetic susceptibility. However, extreme values, high or low, ca
Use the intervals to compare the magnetic susceptibility on the two grids. Higher numbers indicate higher magnetic susceptibility. However, extreme values, high or low, coukd mean an anomaly and possible archaeological treasure. Grid H shows a wider 25% range of values. Grid E shows a wider 75% range of values. Grid E shows a wider 25% range of values. Grid H shows a wider 75% range of values. @ (d) Compute the sample coefficient of variation for each grid. (Enter your answers to one decimal place.) cv [ Use the CVs to compare the two grids o Grid H demonstrates greater variability per expected signal. O Grid H demonstrates the same variability per expected signal as Grid E 0 Grid E demonstrates greater variabilly per expected signal ariability in the signal (magnetic susceptibility) and represents the espected level of the signal, then s/i can be thought of as a measure of the variability per unit of expected signal. Remember, a considerable variability in the signal (above or below average) might indicate buried or at least more exciting? Explain A larger CV would indicate a possibility of more buried artifacts A larger Cv would indicate the possibility of less buried artifacts
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  • The Hill of Tara in Ireland is a place of great archaeological importance. This region has...

    The Hill of Tara in Ireland is a place of great archaeological importance. This region has been occupied by people for more than 4,000 years. Geomagnetic surveys detect subsurface anomalies in the earth's magnetic field. These surveys have led to many significant archaeological discoveries. After collecting data, the next step is to begin a statistical study. The following data measure magnetic susceptibility (centimeter-gram-second ⨯ 10-6) on two of the main grids of the Hill of Tara (Reference: Tara: An Archaeological...

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