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Random assignment Researchers recruited 20惫辞濒耻苍迟别别谤蝉鈥8men and 12women鈥攖o take part in an experiment. They randomly assigned the subjects

into two groups of 10people each. To their surprise, 6of the 8men were randomly assigned to the same treatment. Should they be surprised? Design and carry out a simulation to estimate the probability that the random assignment puts 6or more men in the same group. Follow the four-step

process.

Short Answer

Expert verified

There will be 2 to 6 men as a result. Yes, they should be taken aback.

Step by step solution

01

Step 1. Given Information    

There were a total of volunteers n=20,M=8,W=12 We'll need to devise and carry out an experiment to determine the likelihood that the random selection will result in a group of six or more males.

02

Step 2. Concept Used  

We can't foresee the outcomes of a chance process, yet they have a regular distribution over a large number of repetitions. According to the law of large numbers, the fraction of times a specific event occurs in numerous repetitions approaches a single number. The likelihood of a chance outcome is its long-run relative frequency. A probability is a number between 0(never happens) and 1(happens frequently) (always occurs).

03

Step 3. Explanation

We should, in order to carry out the simulation, Use two-digit numbers instead of three-digit numbers. Assign the numbers to 01to 08a man. A woman is represented by the numerals 09to 20 through Ignore the numerals 00 through , as well as the number 21to 99Pick ten numbers at random between 01and 20, with no repetitions permitted. Count how many men are in the sample. Rep this simulation as many times as you like. You'll probably get between 2and 6males as a result, and sure, they should be startled.

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