## Elementary Statistics (12th Edition)

a) Difference between the magnitude of the strongest earthquake and the mean magnitude: $2.95-1.184=1.766.$ b)$z=\frac{x-\mu}{\sigma}=\frac{2.95-1.184}{0.584}=3.01.$ Hence the magnitude of the strongest earthquake is 3.01 standard deviations from the mean magnitude. c))$z=\frac{x-\mu}{\sigma}=\frac{2.95-1.184}{0.584}=3.01.$ d) The strongest earthquake's z-score is not between -2 and 2, hence it is not usual.