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ttps:/ missouri.edu/webwork2/MU STAT 2500 SP18/WBWK1-Chland2/17/?effectiveUser-eghn9c&displayMode; MathJ MATHEMATICAL ASSOCIATION OF AMERICA webwork/mu stat 2500 sp18/ wbwk1-ch1and2/17 WBWK1-Ch1and2: Problem 17 Pre Up Next (2 pts) In a certain age group, the resting pulse rates of adults are known to have a mean of 84 beats per minute (bpm) with a standard deviation of 8 bpm. (a) According to Chebyshev's rule, at least 84% of values in the distribution wil be between these two bounds bpm and upper-bound bpm. (b) According to Cebyshev's rle, at least 75% of values in the dstribut on wi' be between these two bounds: Lower-bound bpm and upper-bound - bpm According to Cebyshevs rue. at least 8 9 proportion of values the distribution wil be between these two bounds: bpm and upper-bound bpm. Note: You can earn partial credit on this problem. Preview Answers Submit Answers 8Explanation / Answer
a) As per Chebyshev's theorem,
(1 - 1/k2) = 0.84
k = 2.5
Therefore,
Lower bound = 84 - 2.5*8 = 64
Upper bound = 84 + 2.5*8 = 104
b) As per Chebyshev's theorem,
(1 - 1/k2) = 0.75
k = 2
Therefore,
Lower bound = 84 - 2*8 = 68
Upper bound = 84 + 2*8 = 100
c) As per Chebyshev's theorem,
(1 - 1/k2) = 8/9
k = 3
Therefore,
Lower bound = 84 - 3*8 = 60
Upper bound = 84 + 3*8 = 108
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