mples: {11, 11, 11, −2}​, {11, −8, −2, 11}​, {11, −8, 4, −2}​, {4, −8, −2, 11}​, {−2, −2, −2, 4}​, {4, −8, 4, −8}​, {11, 4, −8, −2}​, {−8, 4, −8, 4}​, {−8, −2, −8, 4}​, {4, 11, 11, 11}.    Complete parts​ (a) and​ (b) below.

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

11​, 4​, −2​, −8​, where −8 represents a loss of 8 kg and positive values represent weight gained. Here are ten bootstrap​ samples:

{11, 11, 11, −2}​, {11, −8, −2, 11}​, {11, −8, 4, −2}​, {4, −8, −2, 11}​, {−2, −2, −2, 4}​, {4, −8, 4, −8}​, {11, 4, −8, −2}​, {−8, 4, −8, 4}​, {−8, −2, −8, 4}​, {4, 11, 11, 11}.

  

Complete parts​ (a) and​ (b) below.

9. Here is a sample of amounts of weight change (kg) of college students in their freshman year: 11, 4, -2,
-8, where - 8 represents a loss of 8 kg and positive values represent weight gained. Here are ten
bootstrap samples: (11, 11, 11, -2}, {11, −8, −2, 11}, {11, −8, 4, −2}, {4, -8, -2, 11},
{-2, -2, -2, 4}, {4, −8, 4, −8}, {11, 4, 8, -2}, {-8, 4, 8, 4}, {-8, -2, −8, 4}, {4, 11, 11, 11).
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.
kg<μ<
kg
(Round to one decimal place as needed.)
b. Using only the ten given bootstrap samples, construct an 80% confidence interval estimate of the
standard deviation of the weight changes for the population.
kg <s<
kg
(Round to one decimal place as needed.)
Transcribed Image Text:9. Here is a sample of amounts of weight change (kg) of college students in their freshman year: 11, 4, -2, -8, where - 8 represents a loss of 8 kg and positive values represent weight gained. Here are ten bootstrap samples: (11, 11, 11, -2}, {11, −8, −2, 11}, {11, −8, 4, −2}, {4, -8, -2, 11}, {-2, -2, -2, 4}, {4, −8, 4, −8}, {11, 4, 8, -2}, {-8, 4, 8, 4}, {-8, -2, −8, 4}, {4, 11, 11, 11). 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. kg<μ< kg (Round to one decimal place as needed.) b. Using only the ten given bootstrap samples, construct an 80% confidence interval estimate of the standard deviation of the weight changes for the population. kg <s< kg (Round to one decimal place as needed.)
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