A population consists of the following 6 values: {10, 20, 30, 40, 50, 60}. A sample of size 3 will be chosen from this population without replacement and the median of the sample will be computed: { (0.5 (£n/2 + £n/2+1) m = x(n+1)/2 n odd n even In other words, in a sample of size n = 3 ordered from smallest to largest the median is the 2nd number. The median of a discrete random variable, μ, is defined as the value of such that and P(X M) ≤ 0.5 Determine the median of the population. Think of the population as an equally likely sample space. Determine the sampling distribution of the sample median, m for this population by (1) identifying all possible samples (how many are there?), (2) calculating the median in each sample and (3) using that to determine the probability of each median. Calculate E (m) Determine the standard error or the sample median

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A population consists of the following 6 values: {10, 20, 30, 40, 50, 60}. A sample of size 3 will be chosen from this
population without replacement and the median of the sample will be computed:
{
(0.5 (£n/2 + £n/2+1)
m =
x(n+1)/2
n odd
n even
In other words, in a sample of size n = 3 ordered from smallest to largest the median is the 2nd number.
The median of a discrete random variable, μ, is defined as the value of such that
and
P(X <M) ≤ 0.5
P(X>M) ≤ 0.5
Determine the median of the population. Think of the population as an equally likely sample space.
Determine the sampling distribution of the sample median, m for this population by (1) identifying all possible
samples (how many are there?), (2) calculating the median in each sample and (3) using that to determine the
probability of each median.
Calculate E (m)
Determine the standard error or the sample median
Transcribed Image Text:A population consists of the following 6 values: {10, 20, 30, 40, 50, 60}. A sample of size 3 will be chosen from this population without replacement and the median of the sample will be computed: { (0.5 (£n/2 + £n/2+1) m = x(n+1)/2 n odd n even In other words, in a sample of size n = 3 ordered from smallest to largest the median is the 2nd number. The median of a discrete random variable, μ, is defined as the value of such that and P(X <M) ≤ 0.5 P(X>M) ≤ 0.5 Determine the median of the population. Think of the population as an equally likely sample space. Determine the sampling distribution of the sample median, m for this population by (1) identifying all possible samples (how many are there?), (2) calculating the median in each sample and (3) using that to determine the probability of each median. Calculate E (m) Determine the standard error or the sample median
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