Question

In: Statistics and Probability

Suppose a random sample of size 51 is selected from a population with = 12. Find...

Suppose a random sample of size 51 is selected from a population with = 12. Find the value of the standard error of the mean in each of the following cases (use the finite population correction factor if appropriate).

a. The population size is infinite (to 2 decimals).

b.The population size is N = 50,000 (to 2 decimals).

c. The population size is N = 5,000 (to 2 decimals).

d.The population size is N = 500 (to 2 decimals).

Solutions

Expert Solution

Solution,

Given that,

n = 51

= 12

a) = / n = 12 / 51 = 1.68

b) N = 50000

= (N - n / N - 1) *   / n

= (50000 - 51 / 50000 - 1) * 12 / 51

= 1.68

c) N = 5000

= (N - n / N - 1) *   / n

= (5000 - 51 / 5000 - 1) * 12 / 51

= 1.67

d) N = 500

= (N - n / N - 1) *   / n

= (500 - 51 / 500 - 1) * 12 / 51

= 1.59


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