b. Find the sampling distributions of sample mean, median and range by constructing 3 tables that show possible values and the associated probabilities. p(x) M p(M) R p(R)
b. Find the sampling distributions of sample mean, median and range by constructing 3 tables that show possible values and the associated probabilities. p(x) M p(M) R p(R)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 8E: List the sample space of each experiment. Picking a one-digit number
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Transcribed Image Text:b. Find the sampling distributions of sample mean, median and range by constructing 3 tables that show
possible values and the associated probabilities.
p(x)
М
p(M)
R
p(R)
Transcribed Image Text:1. Consider samples of size 3 selected from the population {3,6,9,15}.
Calculate the sample mean, median and the range for each sample.
а.
田
Sample
М
R Sample
x M
R Sample
MR Sample
x| M
R
{3,3,3}
{6,3,3}
{9,3,3}
{15,3,3}
{3,3,6}
{6,3,6}
{9,3,6}
{15,3,6}
{3,3,9}
{6,3,9}
{9,3,9}
{15,3,9}
{3,3,15}
{6,3,15}
{9,3,15}
{15,3,15}
{3,6,3}
{6,6,3}
{9,6,3}
{15,6,3}
{3,6,6}
{6,6,6}
{9,6,6}
{15,6,6}
{3,6,9}
{6,6,9}
{9,6,9}
{15,6,9}
{3,6,15}
{6,6,15}
{9,6,15}
{15,6,15}
{3,9,3}
{6,9,3}
{9,9,3}
{15,9,3}
{3,9,6}
{6,9,6}
{9,9,6}
{15,9,6}
{3,9,9}
{6,9,9}
{9,9,9}
{15,9,9}
{3,9,15}
(6,9,15}
{9,9,15}
{15,9,15}
{3,15,3}
{6,15,3}
{9,15,3}
{15,15,3}
{3,15,6}
{6,15,6}
{9,15,6}
{15,15,6}
{3,15,9}
{6,15,9}
{9,15,9}
{15,15,9}
{3,15,15}
{6,15,15}
{9,15,15}
{15,15 ,15}
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