Here is a sample of amounts of weight change (kg) of college students in their freshman year:
12
,
2
,
0
,
negative 4
,
where
negative 4
represents a loss of
4
kg and positive values represent weight gained. Here are ten bootstrap samples:
StartSet 12 comma 12 comma 12 comma 0 EndSet
,
StartSet 12 comma negative 4 comma 0 comma 12 EndSet
,
StartSet 12 comma negative 4 comma 2 comma 0 EndSet
,
StartSet 2 comma negative 4 comma 0 comma 12 EndSet
,
StartSet 0 comma 0 comma 0 comma 2 EndSet
,
StartSet 2 comma negative 4 comma 2 comma negative 4 EndSet
,
StartSet 12 comma 2 comma negative 4 comma 0 EndSet
,
StartSet negative 4 comma 2 comma negative 4 comma 2 EndSet
,
StartSet negative 4 comma 0 comma negative 4 comma 2 EndSet
,
StartSet 2 comma 12 comma 12 comma 12 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.
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