Exercise 3.2

For the resampling CC, click here.

1.

Use the class code to obtain 20 trials of your resampling experiment for Problem #1 in the last set of exercises.

2.

Use the class code to obtain 20 trials of your resampling experiment for Problem #2 in the last set of exercises.

3.

Use the class code to obtain 20 trials of your resampling experiment for Problem #3 in the last set of exercises.

4.

Use the class code to obtain 20 trials of your resampling experiment for Problem #4 in the last set of exercises.

5.

Use the class code to obtain 20 trials of your resampling experiment for Problem #5 in the last set of exercises.

6.

1000 parts are shipped into a factory. Your job is to obtain a random sample of 20 (without replacement) of these parts for inspection. If the parts are tagged 1001 through 2000, use the class code to obtain your sample.

7.

For the last problem, suppose your quality control plan rejects the shipment, if 5 or more of the sampled parts are defective. Suppose that really 20% of the shipped parts are defective. Determine the probability of returning the lot using the quality control plan.

Estimate the desired probability by doing 30 resamplings.

8.

Same as the last problem but now only 10% are defective.

9.

We can solve a problem we have been discussing (opening with a pair, in 5 card poker) but the counting is a bit tedious, (need to count by 13's fast). But if enough of you do, say, 5 poker hands we can combine the results. Use the numbers 1 through 52 to denote the cards. Let

• 1, 14, 27, 30 denote Ace.
• 2, 15, 28, 31 denote a two.
• Etc.

Now sample 5 numbers (length of trial) 1 through 52 without repacement. Do this 5 times (5 trials). Count as a success a pair (not 3 nor 4 of a kind).

2000-08-26