QUESTION 8 Empirical rule and Tchebychev rule a) Consider a mound shaped distribution, for which the empirical rule applies. Suppose the mean is (mu) = 45 and the standard deviation is (sigma) = 8 Find the percentage of the data found inside of each of the following intervals (29, 61) (37, 53) b) Suppose a distribution is irregularly shaped (in particular, not mound shaped). Suppose the mean in (mu) = 82 and the standard deviation is (sigma) = 12. Apply Tchebychev's inequality to give a minimum percentage for the percentage of the data found in the following interval. (64, 100) What interval will guarantee at least 88.9% of the data is inside the interval (symmetric about the mean (mu) The interval will have the form ( (mu) - k (sigma), (mu) + k (sigma) ) Find the value for k.

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QUESTION 8
Empirical rule and Tchebychev rule
a) Consider a mound shaped distribution, for which the empirical rule applies.
Suppose the mean is (mu) = 45 and the standard deviation is (sigma) = 8
Find the percentage of the data found inside of each of the following intervals
(29, 61)
(37, 53)
b) Suppose a distribution is irregularly shaped (in particular, not mound shaped).
Suppose the mean in (mu) = 82 and the standard deviation is (sigma) = 12.
%3D
Apply Tchebychev's inequality to give a minimum percentage for the percentage of the data found in the following interval.
(64, 100)
What interval will guarantee at least 88.9% of the data is inside the interval (symmetric about the mean (mu)
The interval will have the form ( (mu) - k (sigma), (mu) + k (sigma) )
Find the value for k.
Transcribed Image Text:QUESTION 8 Empirical rule and Tchebychev rule a) Consider a mound shaped distribution, for which the empirical rule applies. Suppose the mean is (mu) = 45 and the standard deviation is (sigma) = 8 Find the percentage of the data found inside of each of the following intervals (29, 61) (37, 53) b) Suppose a distribution is irregularly shaped (in particular, not mound shaped). Suppose the mean in (mu) = 82 and the standard deviation is (sigma) = 12. %3D Apply Tchebychev's inequality to give a minimum percentage for the percentage of the data found in the following interval. (64, 100) What interval will guarantee at least 88.9% of the data is inside the interval (symmetric about the mean (mu) The interval will have the form ( (mu) - k (sigma), (mu) + k (sigma) ) Find the value for k.
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