In: Statistics and Probability
Is the crime rate in New York different from the crime rate in New Jersey? Independent random samples from region A (cities in New York) and region B (cities in New Jersey) gave the following information about violent crime rate (number of violent crimes per 100,000 population). (Reference: U.S. Department of Justice, Federal Bureau of Investigation.)
Region A | 618 | 521 | 544 | 545 | 501 | 405 | 556 | 539 | 606 | 536 | 426 | |
Region B | 523 | 479 | 378 | 442 | 500 | 403 | 497 | 452 | 394 | 476 | 511 | 502 |
Use a 10% level of significance to test the claim that there is no difference in the crime rate distributions of the two states.
Find the P-value of the sample test statistic. (Use 4 decimal places.)
The following data represent annual percentage returns on Vanguard Total Bond Index for a sequence of recent years. This fund represents nearly all publicly traded U.S. bonds. (Reference: Morningstar Mutual Fund Analysis.)
0.5 | 9.5 | -2.2 | 18.6 | 3.2 | 9.6 | 8.7 | -0.7 | 11.7 | 8.6 | 8.4 | 7.2 |
Test the sequence for randomness about the median. Use α = 0.05.
Find the sample test statistic R, the number of runs.