ISYE 310 – Work Sampling Lab
- Flip four coins and flip them all at once (this is a single measurement).Use something like https://www.random.org/coins/ ,Actual coins are too noisy and distracting
- Repeat the flips for a total of 10.Record the number of heads (0 through 4) and plot.
- Repeat 1 and 2 above a total of 10 times. This should give you a total of 100 flips. Plot the resulting 100 flips on one graph (as though they were one sample).
- Compare the 10 separate distributions to one another and then compare to the larger single distribution.
- Comment on the differences in the distributions and the similarity of the larger distribution to the normal.
- For each of the 10 sets of distributions (treating each set as a separate measurement set), calculate percentage of times 1 or fewer heads appears).Use this value (e.g., about 31% over the long run? Ask yourself if and why this is correct?) as your estimated p value.
- Calculate the number of observations needed to be 95% confident that the true probability is within plus/minus 2 points of the estimated value.
- If you could only take 1000 observations, how confident would you be at the same limit of error?
- If you could only take 1000 observations and needed to be 95% confident, what would be the resulting limit of error and range of values?
- Submit data, graphs, and answers to all questions by next week.
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