S. Suppose that an object is 10 inches long and suppose that a measuring device gives...
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S. Suppose that an object is 10 inches long and suppose that a measuring device gives the readings 7 inches with probability 1/4, 9 inches with probability 1/4, 11 inches with probability 1/4 and 13 inches with probability 1/4. Write down the table with the 16 possible ways that two measurements can turn out along with the average of these two measurements. Use these 16 possibilities to compute the distribution of X when n= 2(i.e, find, and so on.). The average is most accurate when a high measurement is paired with a low measurement. Go back to the table of possible 's and put a check mark by those possibilities where one measurement of the two measurements is above 10 and the other of the two measurements is below 10, that is where X, < 10 and X, > 10 or X, > 10 and X, < 10. i.e, where high measurements tend to cancel low measurements. You can find the distribution of (the probabilities) by making and filling out a table: X, 7. 6. X. 11 13 Conduct the experiment by measuring the object twice, then average the two measurements to estimate the length of the object. This means find your value for the first measurement X and find your value for the second measurement X, then average these two measurements. Go lack to the 16 possibilities in the table and cirele which average came up in your Experiment [You can do the experiment by rolling a die and if a t comes up assume the measurement was 7, if a 2 comes up assume the measurement was a 9. ete If 5 or 6 come up roll the die again If 5 or 6 keep coming up. keep rolling until you get two measurements. Make sure you report the results. Write "The First Mleasurement was ?. The Second Measurement was ?. The Average of the two measurements was ?. so we think the length of the object is 7. S. Suppose that an object is 10 inches long and suppose that a measuring device gives the readings 7 inches with probability 1/4, 9 inches with probability 1/4, 11 inches with probability 1/4 and 13 inches with probability 1/4. Write down the table with the 16 possible ways that two measurements can turn out along with the average of these two measurements. Use these 16 possibilities to compute the distribution of X when n= 2(i.e, find, and so on.). The average is most accurate when a high measurement is paired with a low measurement. Go back to the table of possible 's and put a check mark by those possibilities where one measurement of the two measurements is above 10 and the other of the two measurements is below 10, that is where X, < 10 and X, > 10 or X, > 10 and X, < 10. i.e, where high measurements tend to cancel low measurements. You can find the distribution of (the probabilities) by making and filling out a table: X, 7. 6. X. 11 13 Conduct the experiment by measuring the object twice, then average the two measurements to estimate the length of the object. This means find your value for the first measurement X and find your value for the second measurement X, then average these two measurements. Go lack to the 16 possibilities in the table and cirele which average came up in your Experiment [You can do the experiment by rolling a die and if a t comes up assume the measurement was 7, if a 2 comes up assume the measurement was a 9. ete If 5 or 6 come up roll the die again If 5 or 6 keep coming up. keep rolling until you get two measurements. Make sure you report the results. Write "The First Mleasurement was ?. The Second Measurement was ?. The Average of the two measurements was ?. so we think the length of the object is 7.
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