Please show all of your work when answering the following:
I. Use Chebyshevs theorem to find what percent of the values will fall between 162 and 292 for a dataset with a meanof 227 and standard deviationof 13.
II. Use the Empirical Rule to find what two values 99.7% of the data will fall between for a data set with a mean of 246 and standard deviation of 16.
Upper value of data (Xh) = 292
Lower value of data (Xl) = 162
Mean (u) = 227
Standard deviation (SD) = 13
Pr(|X – u| >= k*SD) <= 1/k^2
|Xh- u| = |292 – 227| = …
The solution uses Chebyshevs Theorem and Empirical Rule to answer the given questions.