Answer to Question #335721 in Statistics and Probability for Junior

Question #335721

Random samples with size 5 are drawn from the population containing the values 26, 32, 41, 50, 58, and 63. Find the mean of the mean of the sample means. 


1
Expert's answer
2022-05-03T11:54:08-0400

The population contains 66 numbers. There are 66 different samples of size 55. Namely, we decide which number to exclude to receive a sample of 55. All possible samples and their means are presented in the table:



The mean of these means is: 48.8+47.6+45.8+44+42.4+41.46=45\frac{48.8+47.6+45.8+44+42.4+41.4}{6}=45

Thus, the answer is: 4545.


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