Question

In: Statistics and Probability

Is the crime rate in New York different from the crime rate in New Jersey? Independent...

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.

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