sd02 1o1 a18. | Archaeology: Ireland The Hill of Tara in Ireland is a place of great ar-chaeological importance. This region has been occupied by people forbmore than 4000 years. Geomagnetic surveys detect subsurface anomaliesin the earth's magnetic field. These surveys have led to many significantarchaeological discoveries. After collecting data, the next step is to begina statistical study. The following data measure magnetic susceptibility(centimeter-gram-second X 10-)(Reference: Tara: An Archaeological Survey by Conor Newman, Royal IrishAcademy, Dublin).00g shO band brO9dmnnlisnUOB0U Eronb oubeomsis oabood basbt bobboul Isnutotwo of the main grids of the Hill of Tara927am baoTedbohg101 Diot sinGrid E: x variable13.205.6019.8015.0521.4017.2527.45TOA116.95 23.90 32.4040.755.1017.7528.35021Grid H: y variable11.8515.2521.3017.3027.5010.3514.90bauw to48.7025.4025.9557.6034.3538.8041.0031.25(a) Compute 2x, E, 2y, and y(b) Use the results of part (a) to compute the sample mean, variance, andstandard deviation for x and for y(c) Compute a 75% Chebyshev interval around the mean for x values and01 also for y values. Use the intervals to compare the magnetic susceptibilityon the two grids. Higher numbers indicate higher magnetic susceptibility.However, extreme values, high or low, could mean an anomaly and pos-sible archaeological treasure.(d) Interpretation Compute the sample coefficient of variation for eachgrid. Use the CVs to compare the two grids. If s represents variabilityy.1 ND VARIATIONin the signal (magnetic susceptibility) and x represents the expectedlevel of the signal, then s/x can be thought of as a measure of thevariability per unit of expected signal. Remember, a considerablevariability in the signal (above or below average) might indicate bur-ied artifacts. Why, in this case, would a large CV be better or at leastmore exciting? Explain.

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Asked Sep 11, 2019
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sd02 1o1 a
18. | Archaeology: Ireland The Hill of Tara in Ireland is a place of great ar-
chaeological importance. This region has been occupied by people for
bmore than 4000 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 X 10-)
(Reference: Tara: An Archaeological Survey by Conor Newman, Royal Irish
Academy, Dublin).
00g sh
O ban
d br
O9
dmn
nlisn
UOB
0U Eronb ou
beomsis o
abood bas
bt bob
boul Is
nuto
two of the main grids of the Hill of Tara
927
am bao
T
ed
bohg
101 Diot sin
Grid E: x variable
13.20
5.60
19.80
15.05
21.40
17.25
27.45
TOA1
16.95 23.90 32.40
40.75
5.10
17.75
28.35
021
Grid H: y variable
11.85
15.25
21.30
17.30
27.50
10.35
14.90
bau
w to
48.70
25.40
25.95
57.60
34.35
38.80
41.00
31.25
(a) Compute 2x, E, 2y, and y
(b) Use the results of part (a) to compute the sample mean, variance, and
standard deviation for x and for y
(c) Compute a 75% Chebyshev interval around the mean for x values and
01 also for y values. Use the intervals to compare the magnetic susceptibility
on the two grids. Higher numbers indicate higher magnetic susceptibility.
However, extreme values, high or low, could mean an anomaly and pos-
sible archaeological treasure.
(d) Interpretation Compute the sample coefficient of variation for each
grid. Use the CVs to compare the two grids. If s represents variability
y.
1
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Image Transcriptionclose

sd02 1o1 a 18. | Archaeology: Ireland The Hill of Tara in Ireland is a place of great ar- chaeological importance. This region has been occupied by people for bmore than 4000 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 X 10-) (Reference: Tara: An Archaeological Survey by Conor Newman, Royal Irish Academy, Dublin). 00g sh O ban d br O9 dmn nlisn UOB 0U Eronb ou beomsis o abood bas bt bob boul Is nuto two of the main grids of the Hill of Tara 927 am bao T ed bohg 101 Diot sin Grid E: x variable 13.20 5.60 19.80 15.05 21.40 17.25 27.45 TOA1 16.95 23.90 32.40 40.75 5.10 17.75 28.35 021 Grid H: y variable 11.85 15.25 21.30 17.30 27.50 10.35 14.90 bau w to 48.70 25.40 25.95 57.60 34.35 38.80 41.00 31.25 (a) Compute 2x, E, 2y, and y (b) Use the results of part (a) to compute the sample mean, variance, and standard deviation for x and for y (c) Compute a 75% Chebyshev interval around the mean for x values and 01 also for y values. Use the intervals to compare the magnetic susceptibility on the two grids. Higher numbers indicate higher magnetic susceptibility. However, extreme values, high or low, could mean an anomaly and pos- sible archaeological treasure. (d) Interpretation Compute the sample coefficient of variation for each grid. Use the CVs to compare the two grids. If s represents variability y. 1

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ND VARIATION
in the signal (magnetic susceptibility) and x represents the expected
level of the signal, then s/x 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 bur-
ied artifacts. Why, in this case, would a large CV be better or at least
more exciting? Explain.
help_outline

Image Transcriptionclose

ND VARIATION in the signal (magnetic susceptibility) and x represents the expected level of the signal, then s/x 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 bur- ied artifacts. Why, in this case, would a large CV be better or at least more exciting? Explain.

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Expert Answer

Step 1

Note:

Hey, since there are subpart questions posted, we will answer first three parts. If you want any specific part to be answered then please submit that question only or specify the subpart number in your message.

Step 2

(a).

Compute ∑x, ∑x2, ∑y, ∑y2.

x

y

x^2

y^2

13.2

11.85

174.24

140.4225

5.6

15.25

31.36

232.5625

19.8

21.3

392.04

453.69

15.05

17.3

226.5025

299.29

21.4

27.5

457.96

756.25

17.25

10.35

297.5625

107.1225

27.45

14.9

753.5025

222.01

16.95

48.7

287.3025

2371.69

23.9

25.4

571.21

645.16

32.4

25.95

1049.76

673.4025

40.75

57.6

1660.563

3317.76

5.1

34.35

26.01

1179.923

17.75

38.8

315.0625

1505.44

28.35

41

803.7225

1681

 

31.25

 

976.5625

∑x= 284.95

∑y =421.5

∑x2=7046.798

∑y2=14562.29

Step 3

(b).

Compute the sample mean, variance and standard deviatio...

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Image Transcriptionclose

Σx Sample mean (x) X n 284.95 14 -20.35 Sample mean of y Sample mean (y)Ly n 421.5 15 =28.1

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