Answer to Question #189031 in Statistics and Probability for Rhea Quir

Question #189031

Form a group of eight students in your class or section. Determine the general weighted average of the members of the group. List them

1.list all the possible samples of size 2 and their corresponding means

2.construct the sampling distribution of the sample means

3.calculate the mean of the sampling distribution of the sample means



1
Expert's answer
2021-05-10T09:46:54-0400

Let the weight of students are (in kg)

50 , 52 , 53 , 54 , 56 , 57 , 58 , 60


Average weight = "\\dfrac{50+52+53+54+56+57+58+60}{8}=55"


So,  general weighted average of the members of the group = 55 kg

(1) Sample of size 2 = "^8C_2=28 \\ samples"



(2)



(3) Mean of sampling distribution of the sample means = mean of the population

Mean of sampling distribution of the sample Mean "\\bar X = \\dfrac{1}{n}\\sum X_i=\\dfrac{1540}{28}=55"




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