From a sample with n=36, the mean duration of a geyser's eruptions is 3.07 minutes and the standard deviation is 0.88 minutes. Using Chebychevs's Theorem, determine at least how many of the eruptions lasted between 0.43 and 5.71 minutes.
From a sample with n=36, the mean duration of a geyser's eruptions is 3.07 minutes and the standard deviation is 0.88 minutes. Using Chebychevs's Theorem, determine at least how many of the eruptions lasted between 0.43 and 5.71 minutes.
Given Information:
Sample size
Mean
Standard deviation
To determine at least how many of the eruptions lasted between 0.43 and 5.71.
Chebyshev Theorem:
The Chebyshev Theorem of standard scores states that for a sample or a population data, at least percentage of the values will be contained between two, three or more standard deviations from the mean, provided that the value of is greater than one.
0.43 and 5.71 are 3 standard deviations from the mean.
That is:
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