(b) Compute a 75% Chebyshev interval around the sample mean. Recall that Chebyshev's Theorem states that for any set of data and for any constant k greater than 1, the proportion of the data that must...

Extracted text: (b) Compute a 75% Chebyshev interval around the sample mean. Recall that Chebyshev's Theorem states that for any set of data and for any constant k greater than 1, the proportion of the data that must lie within k standard deviations on either side of the mean is at least 1- Therefore, for sample data with mean x and standard deviation s, at least 1- of data must fall between X- ks and x + ks. When k- 2, we have the following. 22 1- or Therefore, for any set of data, at least 75% of the data must fall between x - 2s and x + ( Os, or, in other words, within standard deviations of the mean.