1.The Insurance institute for highway safety conducted tests with crashes of new cars travelling at 6 mil/h. the total cost of damages was found for simple random sample of the tested cars and listed below. Do the different measure of center differ very much? $7448 $4911 $9051 $6374 $4277

2.The Figo credit rating scores obtained in a simple random sample are listed below. As of this writing, the reported mean Fico score was 678. Do these sample Figo scores appear to be consistent with the reported mean? 714 751 664 789 818 779 698 836 753 834 693 802

3.Eruptions of the Old Faithful geyser have duration times with a mean of 245.0 sec and a standard deviation of 36.4 sec (based on Data Set 15 in Appendix B). One eruption had a duration time of 110 sec

a. What is the difference between a duration time of 110 sec and the mean?

b. How many standard deviations is that (the difference found in part (a)

c. Convert the duration time of 110 sec to a z score.

d. If we consider "usual" duration times to be those that convert to z scores between -2 and 2. is a duration time of 110 sec usual or unusual?