a. b. C. d. If we have a population consists of 5 people and their wights in kilograms are: 76, 58, 64, 82, 60 Calculate both mean and variance for the wights of this population, If we select randomly a sample of 2 individuals with replacement, find the mean and and the variance for possible samples, Repeat part b if the sampling without replacement, Calculate the mean and the variance for samples population for both part b and c, Compare the mean and variance of the samples population with those of original population.

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If we have a population consists of 5 people and their wights in kilograms are:

76, 58, 64, 82, 60

a.
b.
C.
d.
If we have a population consists of 5 people and their wights in kilograms are:
76, 58, 64, 82, 60
Calculate both mean and variance for the wights of this population,
If we select randomly a sample of 2 individuals with replacement, find the mean and and the variance for
possible samples,
Repeat part b if the sampling without replacement,
Calculate the mean and the variance for samples population for both part b and c,
Compare the mean and variance of the samples population with those of original population.
Transcribed Image Text:a. b. C. d. If we have a population consists of 5 people and their wights in kilograms are: 76, 58, 64, 82, 60 Calculate both mean and variance for the wights of this population, If we select randomly a sample of 2 individuals with replacement, find the mean and and the variance for possible samples, Repeat part b if the sampling without replacement, Calculate the mean and the variance for samples population for both part b and c, Compare the mean and variance of the samples population with those of original population.
Expert Solution
Step 1

Hint: 

Population Mean Y =1NYi

Population Variance  σ2  = 1Nyi-Y2

Sample mean  y =1nyi

Sample variance   S2  = 1n-1yi-y2

Number of possible samples if samples are selected with replacement = Nn

Number of possible samples if samples are selected without replacement = NCn

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