A variable of a population has mean and standard deviation For a large sample size n, fill in the blanks Justify your answers a Approximately of all possible samples have means within n of the population mean, b Approximately of all possible samples have means within 2 n of the population mean, c Approximately of all possible samples have means within 3 n of the population mean, d Approximately of all possible samples have means within z 2 of the population mean,

Question: A variable of a population has mean and standard deviation . For a large sample size n, fill in the blanks. Justify your answers.

A variable of a population has mean μ and standard deviation σ. For a large sample size n, fill in the blanks. Justify your answers.
a. Approximately % of all possible samples have means within σ/√n of the population mean, μ.
b. Approximately % of all possible samples have means within 2σ/√n of the population mean, μ.
c. Approximately % of all possible samples have means within 3σ/√n of the population mean, μ.
d. Approximately % of all possible samples have means within zα/2 of the population mean, μ.

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