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Suppose we want to compare the length of hospital stay for patients with the same diagnosis at four different hospitals in the Greater Toronto Area

  1. Suppose we want to compare the length of hospital stay for patients with the same diagnosis at four different hospitals in the Greater Toronto Area (GTA). The data collected on a random sample of patients at each of the four hospitals is provided in the table below. Use these data to answer the questions below the table.

Hospital 1

Hospital 2

Hospital 3

Hospital 4

21

86

14

65

10

27

7

58

32

10

9

72

60

68

32

36

8

87

6

44

44

76

4

137

29

125

16

220

5

60

13

114

13

35

7

94

26

73

22

87

33

96

19

70

43

44

24

96

38

238

6

130

29

8

88

36

13

94

30

62

21

  1. Create onebox and whisker plot that compares the distribution of lengths of stay for the four hospitals. Based on the shape of the distributions in the plot, what statistical test would you conduct to determine if there was a difference in lengths of stay among the four hospitals?

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