19.0 76.0 8.4 83.1 9.2 88.5 21.8 118.0 33.6 104.3 31.7 79.5 6.4 108.8 24.6 81.9 4.1 76.6 12.8 88.7 12.3 90.9 8.5 89.0 26.0 78.0 7.3 83.2 13.4 85.6 22.3 90.3 20.2 104.5 16.8 95.6 18.4 103.1 27.7 89.9 17.4 104.0 26.4 95.3 11.3 105.0 27.1 83.5 17.2 86.7 10.7 93.0 18.1 76.0 13.7 106.1 28.1 109.3 23.0 104.3 30.8 100.5 16.5 77.9 7.4 101.6 18.2 99.7 25.1 96.7 16.1 95.8 30.2 104.8 25.4 92.4 25.9 95.0 21.6 86.0 8.8 90.6 19.5 105.5 31.0 79.4 10.4 126.2 33.1 98.0 20.2 95.5 21.9 73.7 11.2 86.4 10.9 122.1 45.1 What is the lower bound of the average percentage of body fat (with 95% confidence) for all people who have a girth of 150cm (correct to three decimal places)?
Given the following data set: Girth Fat% 99.1 19.0 76.0 8.4 83.1 9.2 88.5 21.8 118.0 33.6 104.3 31.7 79.5 6.4 108.8 24.6 81.9 4.1 76.6 12.8 88.7 12.3 90.9 8.5 89.0 26.0 78.0 7.3 83.2 13.4 85.6 22.3 90.3 20.2 104.5 16.8 95.6 18.4 103.1 27.7 89.9 17.4 104.0 26.4 95.3 11.3 105.0 27.1 83.5 17.2 86.7 10.7 93.0 18.1 76.0 13.7 106.1 28.1 109.3 23.0 104.3 30.8 100.5 16.5 77.9 7.4 101.6 18.2 99.7 25.1 96.7 16.1 95.8 30.2 104.8 25.4 92.4 25.9 95.0 21.6 86.0 8.8 90.6 19.5 105.5 31.0 79.4 10.4 126.2 33.1 98.0 20.2 95.5 21.9 73.7 11.2 86.4 10.9 122.1 45.1
What is the lower bound of the average percentage of body fat (with 95% confidence) for all people who have a girth of 150cm (correct to three decimal places)?
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