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A worker assembles one item every 12 minutes, so 40 items are completed in his f

ID: 3317478 • Letter: A

Question

A worker assembles one item every 12 minutes, so 40 items are completed in his first day of work. His manager checks his work by randomly selecting an hour of the day, then reviewing all the items he completed that hour. Does this sampling plan result in a random sample? Simple random sample? Does this sampling plan result in a random sample? O A. No, because each item does not have an equal chance of being selected O B. Yes, because all possible groups of n items have an equal chance of being selected C. No, because all possible groups of n items do not have an equal chance of being selected 0 D. Yes, because each item has an equal chance of being selected Does this sampling plan result in a simple random sample? 0 A. O B. Yes, because all possible groups of n items have an equal chance of being selected No, because all possible groups of n items do not have an equal chance of being selected C. Yes, because each item has an equal chance of being selected D. No, because each item does not have an equal chance of being selected.

Explanation / Answer

Since the hour is selected at random, each group also has equal probability of being chosen.

B. Yes, because all possible groups of n items have an equal chance of being selected.

Further within every group the probability of an item being selected is 1.

C. Yes, because each item has an equal chance of being selected.

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