?https://www.math.com/student/Playeri MATH 25 C01 (Summer 2018 Homework: CH 2 HW

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?https://www.math.com/student/Playeri MATH 25 C01 (Summer 2018 Homework: CH 2 HW (required) Score: 0 of 1 pt 10357 Victoria Rosas &I; 6/17/18 6:56P 29 of 30 (30 complete) HW Score: 88.52%, 54 off 2.4.36 E Question Help From a sample with n 36, the mean duration of a geyser's eruptions is 3.34 minutes and the standard deviation is 0.98 minutes. Using Chebychev's Theorem, determine at least how many of the eruptions lasted between 0.4 and 6.28 minutes At leastof the eruptions lasted between 0.4 and 6.28 minutes (Simplify your answer.) Enter your answer in the answer box and then click Check Answer

Explanation / Answer

n = 36

x = 3.34

s = 0.98

x-3s = 3.34 - 3*0.98 = 0.4

x+3s = 3.34 + 3*0.98 = 6.28

Here, k = 3

As per Chebyshev theorem, at least 1 - 1/k^2 proportion of observations will lie within k standard deviation

1 - 1/9 = 8/9 is the proportion

Total number of observations within k standard deviations is 8/9 * 36 = 32

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