Question

Q5

Suppose that you have been assigned to estimate the height of a group of corn plants arranged in 4 rows with 50 plants in each row. You may take measurements of 10 plants. [5 Marks]

(a) Outline a method for obtaining a random sample in such a situation.

(b) What advantages or disadvantages are in such a procedure?

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Answer 1

a) We choose a 10 row numbers at random between 1 to 4, and 10 columnn numbers at random between 1 to 50 to take 10 observations. For each (row number, column number) tuple, we find the plant at the corresponding location and take its measurement

b) Advantage: It is going to be a good, random sample. Disadvantage: There might be repetition in the number of tosses as there is a small chance we may get the same tuple of (row number, column number) twice. So we may need to do more than 10+10=20 tosses.

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