(ii) Using Minitab, obtain a histogram with the following properties:

the ticks on the horizontal axis are at the cutpoints

the bins have width 500 days

the first bin starts at 0 days and the last bin finishes at 7500 days.

Include a copy of your histogram in your answer. Is the shape of the histogram consistent with the data being observations from an exponential distribution? Give a reason for your answer.

(iii) The data are listed in the order in which they arose. Using Minitab, produce an appropriate graph to investigate whether, for the period of observation, the data are consistent with the rate at which earthquakes occur in California remaining constant. Include a copy of your graph in your answer.

Explain why your graph suggests that the average rate at which earthquakes occurred in California was not constant over the period. How did the average rate change over time?

44 C1 Interval 2098 323 1205 1408 c1 Interval 3194 1109 45 46 47 48 1252 4 7273 49 56 50 51 529 85 1603 7 2806 2305 3352 9 1014 792 10 11 12 13 14 15 16 17 545 889 858 1676 277 2626 3122 1325 32 851 822 4035 541 496 18 19 20 21 25 26 27 28 29 30 31 32 2742 358 70 101 122 167 33 36 37 38 39 905 358 805 13 437 53 624 70 619 299 3 66 568 40 42 43 44 C1 Interval 2098 323 1205 1408 c1 Interval 3194 1109 45 46 47 48 1252 4 7273 49 56 50 51 529 85 1603 7 2806 2305 3352 9 1014 792 10 11 12 13 14 15 16 17 545 889 858 1676 277 2626 3122 1325 32 851 822 4035 541 496 18 19 20 21 25 26 27 28 29 30 31 32 2742 358 70 101 122 167 33 36 37 38 39 905 358 805 13 437 53 624 70 619 299 3 66 568 40 42 43