Question

Here is a sample of amounts of weight change​ (kg) of college students in their freshman​...

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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