In: Statistics and Probability
Here is a sample of amounts of weight change (kg) of college students in their freshman year: 13, 4, 3, negative 6, where negative 6 represents a loss of 6 kg and positive values represent weight gained. Here are ten bootstrap samples: StartSet 13 comma 13 comma 13 comma 3 EndSet, StartSet 13 comma negative 6 comma 3 comma 13 EndSet, StartSet 13 comma negative 6 comma 4 comma 3 EndSet, StartSet 4 comma negative 6 comma 3 comma 13 EndSet, StartSet 3 comma 3 comma 3 comma 4 EndSet, StartSet 4 comma negative 6 comma 4 comma negative 6 EndSet, StartSet 13 comma 4 comma negative 6 comma 3 EndSet, StartSet negative 6 comma 4 comma negative 6 comma 4 EndSet, StartSet negative 6 comma 3 comma negative 6 comma 4 EndSet, StartSet 4 comma 13 comma 13 comma 13 EndSet. Complete parts (a) and (b) below. a. Using only the ten given bootstrap samples, construct an 80% confidence interval estimate of the mean weight change for the population. nothing kg less than mu less than nothing kg (Round to one decimal place as needed.)