M1 Sampling Distribution

2011-10-07 5:40 am
The proportion of defective apples in a farm is y. A sample of n apples is randomly selected from the farm. Let P be the proportion of defective apples in the sample.

(a) Express the standard deviation of P in terms of y and n.

(b) Show that y (1-y) ≤ 0.25

(c) Hence suggest a sample size to ensure that the standard deviation of P is less than 0.04.

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