A clinical test for central venous oxygen is performed on patients admitted to ICU upon admission and following 6 hours of treatment. Is there a significant difference at the 95% confidence interval between the initial and final oxygen level that could be attributed to the treatment received in the ICU?

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A clinical test for central venous oxygen is performed on
patients admitted to ICU upon admission and following 6 hours
of treatment. Is there a significant difference at the 95%
confidence interval between the initial and final oxygen level
that could be attributed to the treatment received in the ICU?

Central Venous Oxygen Saturation (%)
Subject
Initial
Final
1
42.8
52.9
2
60.2
56.7
3
55.3
61.9
4
67.4
71.4
56.4
67.7
6
43.6
50.1
7
47.6
60.7
8
46.9
51.3
9
43.2
59.5
10
67.9
59.8
Transcribed Image Text:Central Venous Oxygen Saturation (%) Subject Initial Final 1 42.8 52.9 2 60.2 56.7 3 55.3 61.9 4 67.4 71.4 56.4 67.7 6 43.6 50.1 7 47.6 60.7 8 46.9 51.3 9 43.2 59.5 10 67.9 59.8
Expert Solution
Step 1

Two samples are called paired sample if the samples are generated using sample subjects but in two different conditions or at two different times. To compare the population means of paired data the paired sample t test is used.

This test treats the difference in paired data as a single sample. The test statistic for this test is computed by t=d¯-μdsdn, where d¯ and sd is mean and sample standard deviation of the difference, μd is difference in means claimed in null hypothesis and n is the sample size.

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