Question

Use the empirical rule for variables to answer the questions posed in parts (a)–(c) of Exercises. Avariable of a population has meanµ 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/vn of the population mean, µ.
b. Approximately % of all possible samples have means within 2σ/vn of the population mean, µ.
c. Approximately % of all possible samples have means within 3σ/vn of the population mean, µ.
d. Approximately % of all possible samples have means within za/2 of the population mean, µ.

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