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1. The cost of housing for elderly persons who rent as a percentage of income is distributed as listed below. Beneath the national percentages are the observed frequencies for a random sample of 300 elderly renters from a the Jacksonville area. At the 0.025 level, could the distribution of housing costs as a percentage of income for the elderly persons in this area be the same as for the nation as a whole?

National Local Sample

20% to 30% to

< 20% under 30% under 40% $ 40%

| | | | | | |

|National Local Sample |13.0% |25.6% |20.3% |41.1% |100% |

| |26 |67 |68 |139 |n = 300 |

2. The following data are the number of persons who were waiting in line at a fast food counter at 100 randomly selected times during the week. At the 0.05 level, test whether the population of these values could be Poisson distributed.

x = Number Number of

of persons Observations

0 24

1 24

2 18

3 20

4 10

5 4

100

3. A lottery researcher collecting data for an article on his state lottery system, has found the 200 digits most recently selected to be distributed as shown below. Based on this information, and using the 0.10 level of significance, can he conclude that the digits have not been drawn from a discrete uniform distribution?

Digit Frequency

| | |

|0 1 2 3 4 5 6 7 8 9 | |

|17 18 24 25 19 16 14 23 24 20 |200 |

4. The following table describes types of collisions versus driving environments for a random sample of two-vehicle accidents that occurred in a given region last year. At the 0.01 level of significance, can we conclude that the type of collision is independent of whether the accident took place in a rural versus an urban setting?

Type of Collision

Angle Rear-end Other

Driving Urban 40 30 72 142

Environment Rural 6 12 15 33

46 42 87 175

5. The following contingency table lists the number of financial institutions in various size categories in selected states. At the 0.01 level of significance, do these data indicate that no relationship exists between the size of a institution and the state in which it is located?

Assets (millions of dollars)

Under 100 to 300 to 500 to 1000

100 ................
................

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