A random sample of size n = 85 is taken from a finite population of size N = 479

Question

A random sample of size n = 85 is taken from a finite population of size N = 479 with mean = 253 and variance 2 = 436. Use a z-table.

Is it necessary to apply the finite population correction factor?

Calculate the expected value and the standard error of the sample mean. (Do not round intermediate calculations. Round "standard error" to 3 decimal places.)

What is the probability that the sample mean is less than 241?

What is the probability that the sample mean lies between 246 and 262? (Use rounded standard deviation. Round "z" value to 2 decimal places and final answer to 4 decimal places.)

Is it necessary to apply the finite population correction factor?

Explanation / Answer

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