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- Test your laser tag system n times at each of the three distances: 20 ft, 40 ft, and 60 ft, and estimate probabilities of detection p_20 , p_40 , and p_60 . Does it make sense that these probabilities will be different? Hypothesize the relationships between these probabilities before you begin. That is, which one will be the largest, which one will be the smallest, and by about how much will they differ? How well do your estimates match your hypotheses? | - Test your laser tag system n times at each of the three distances: 20 ft, 40 ft, and 60 ft, and estimate probabilities of detection p_20 , p_40 , and p_60 . Does it make sense that these probabilities will be different? Hypothesize the relationships between these probabilities before you begin. That is, which one will be the largest, which one will be the smallest, and by about how much will they differ? How well do your estimates match your hypotheses? | ||
- As you may recall from STAT 201, the maximum likelihood estimate of a probability is simply the ratio of successful trials to the number of total experiments. | - As you may recall from STAT 201, the maximum likelihood estimate of a probability is simply the ratio of successful trials to the number of total experiments. | ||
- | - Produce a table summarizing your results. Include the value of n, the number of successful trials at each distance, your estimates of the probabilities p 20 , p 40 , and p 60 , and 95% confidence intervals for each estimate. | + | - Produce a table summarizing your results. Include the value of n, the number of successful trials at each distance, your estimates of the probabilities p_20 , p_40 , and p_60 , and 95% confidence intervals for each estimate. |
==== Deliverable ==== | ==== Deliverable ==== |