A manager of an inter-county hurling team is concerned that his team lose matches because they 'fade away' in the last ten minutes. He has measured GPS data showing how much ground particular players cover within a given time period; this is the data in list (a) in worksheet 'Dataset3', He has acquired the corresponding data from an opposing, more successful team, given in list (b). 1. Set up the frame work of an appropriate statistical test to deter- mine whether there is a difference in the distances covered by the two groups of players. 2. Calculate the sample mean and sample standard deviation for the two sets of data. 3. Explain how having the results of the calculations above would influence the structure of your statistical test. 4. Carry out the statistical test and state your conclusions.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Part 2
Dataset 3
List (a)
1572.78 1537.06 1507.03 1502.60 1482.55 1479.25
1583.97 1526.26 1509.36 1497.32 1489.68 1479.60
1573.64 1524.97 1499.18 1490.22 1490.41 1469.23
1562.75 1514.28 1496.08 1479.95 1484.92 1458.38
1513.54
1493.99
1507.94
List (b)
1556.47 1499.81 1499.65 1467.26 1467.61 1452.29
1551.10 1500.78 1494.46 1477.95 1467.67 1442.11
1551.56 1496.23 1490.32 1481.91
1540.70 1493.34 1486.58 1471.19 1473.98 1427.87
1539.53 1504.23 1492.91
1471.70
1489.01
1467.61
1465.24 1432.95
1482.28
1467.36 1483.71 1418.90
Transcribed Image Text:Dataset 3 List (a) 1572.78 1537.06 1507.03 1502.60 1482.55 1479.25 1583.97 1526.26 1509.36 1497.32 1489.68 1479.60 1573.64 1524.97 1499.18 1490.22 1490.41 1469.23 1562.75 1514.28 1496.08 1479.95 1484.92 1458.38 1513.54 1493.99 1507.94 List (b) 1556.47 1499.81 1499.65 1467.26 1467.61 1452.29 1551.10 1500.78 1494.46 1477.95 1467.67 1442.11 1551.56 1496.23 1490.32 1481.91 1540.70 1493.34 1486.58 1471.19 1473.98 1427.87 1539.53 1504.23 1492.91 1471.70 1489.01 1467.61 1465.24 1432.95 1482.28 1467.36 1483.71 1418.90
Question 3
A manager of an inter-county hurling team is concerned that his team
lose matches because they 'fade away' in the last ten minutes. He
has measured GPS data showing how much ground particular players
cover within a given time period; this is the data in list (a) in worksheet
'Dataset3'. He has acquired the corresponding data from an opposing,
more successful team, given in list (b).
1. Set up the frame work of an appropriate statistical test to deter-
mine whether there is a difference in the distances covered by the
two groups of players.
2. Calculate the sample mean and sample standard deviation for the
two sets of data.
3. Explain how having the results of the calculations above would
influence the structure of your statistical test.
4. Carry out the statistical test and state your conclusions.
Transcribed Image Text:Question 3 A manager of an inter-county hurling team is concerned that his team lose matches because they 'fade away' in the last ten minutes. He has measured GPS data showing how much ground particular players cover within a given time period; this is the data in list (a) in worksheet 'Dataset3'. He has acquired the corresponding data from an opposing, more successful team, given in list (b). 1. Set up the frame work of an appropriate statistical test to deter- mine whether there is a difference in the distances covered by the two groups of players. 2. Calculate the sample mean and sample standard deviation for the two sets of data. 3. Explain how having the results of the calculations above would influence the structure of your statistical test. 4. Carry out the statistical test and state your conclusions.
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