Statistics

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Think about the three experiments below:

1. Picking 20 numbers at random with replacement from the set {1, 2, …, 10}.

2. Picking 10 numbers at random with replacement from the set {1, 2, …, 20}.

3. Picking 5 numbers at random with replacement from the set {1, 2, …, 40}.

Let Xbar1, Xbar2 and Xbar3 be respectively the averages of the numbers picked in experiment 1, 2 and 3.

Find P(2Xbar, sub1 + Xbar, sub2 ≤ Xbar, sub3).

Which estimator (Xbar1, Xbar2 or Xbar3) is more likely to give a similar answer if you continue to repeat the experiment? Prove why.

Clarification on characters (bar, sub) attached below


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Assignment Solutions


Assignment Solutions

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