Here is a sample of amounts of weight change (kg) of college students in their freshman year: 10, 7, 6, -7, where -7 represents a loss of 7 kg and positive values represent weight gained. Here are ten bootstrap samples: {10,10,10,6},{10,−7,6,10},{10,−7,7,6},{7,−7,6,10},{6,6,6,7},{7,−7,7,−7},{10,7,−7,6},{−7,7,−7,7},{−7,6,−7,7},{7,10,10,10}. a) Using only the ten given bootstrap samples, construct an 80% confidence interval estimate of the mean weight change for the population. kg&lt;μ&lt;kg

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Here is a sample of amounts of weight change (kg) of college students in their freshman year: 10, 7, 6, -7, where -7 represents a loss of 7 kg and positive values represent weight gained. Here are ten bootstrap samples: {10,10,10,6},{10,−7,6,10},{10,−7,7,6},{7,−7,6,10},{6,6,6,7},{7,−7,7,−7},{10,7,−7,6},{−7,7,−7,7},{−7,6,−7,7},{7,10,10,10}. a) Using only the ten given bootstrap samples, construct an 80% confidence interval estimate of the mean weight change for the population.  kg&amp;lt;μ&amp;lt;kg

Benedict · Accepted Answer

First, we must calculate the mean of each bootstrap sample and arrange them. We now get a confidence interval from our list of bootstrap sample means. The 90th and 10th percentiles are used as the interval&#039;s endpoints since we desire an 80% confidence level. The reason for this is that we split&amp;nbsp;100%−80%=20%&amp;nbsp;in half so that we will have the middle 80% of all of the bootstrap sample means.Bookstrap&amp;nbsp;samplesmeansorted&amp;nbsp;means10,&amp;nbsp;10,&amp;nbsp;10,&amp;nbsp;69−0.2510,&amp;nbsp;−7,&amp;nbsp;6,&amp;nbsp;104.75010,&amp;nbsp;−7,&amp;nbsp;7,&amp;nbsp;6407,&amp;nbsp;−7,&amp;nbsp;6,&amp;nbsp;10446,&amp;nbsp;6,&amp;nbsp;6,&amp;nbsp;76.2547,&amp;nbsp;−7,&amp;nbsp;7,&amp;nbsp;−70410,&amp;nbsp;+7,&amp;nbsp;−7,&amp;nbsp;644.47−7,&amp;nbsp;7,&amp;nbsp;−7,&amp;nbsp;706.25−7,&amp;nbsp;6,&amp;nbsp;−7,&amp;nbsp;7−0.2597,&amp;nbsp;10,&amp;nbsp;10,&amp;nbsp;109.259.25Step 2&amp;nbsp;From the sorted mean data&amp;nbsp;P10=1stterm+2ndterm2=−0.25+02=0.125P90=9thterm+10thterm2=9+9.252=9.125Therefore,&amp;nbsp;−0.125kg&amp;lt;μ&amp;lt;9.125kg

Here is a sample of amounts of weight change (kg) of college students in their freshman year: 10, 7, 6, -7, where -7 represents a

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