Cable Stations

Question

   1. The Safety Director of Honda USA took samples at random from the file of minor accidents and classified them according to the time the accident took place. The sample data is as follows: 8am to 9am 6 accidents 9am to 10 am 6 accidents 10am to 11 am 20 accidents 11am to noon 8 accidents Noon to 1pm 7 accidents 1pm to 2pm 8 accidents 2pm to 3pm 10 accidents 3pm to 4pm 6 accidents At the 0.01 level of significance, are the accidents evenly   distributed throughout the day?    

     2. For many years TV executives used the guideline that 30 percent of the audience were watching each of the prime-time networks and 10 percent were watching cable stations on a weekday night. A random sample of 500 viewers in the Tampa-St. Petersburg area last Monday night showed that 165 homes were tuned in to the ABC affiliate, 140 to the CBS affiliate, 125 to the NBC affiliate, and the remainder were viewing a cable station. At the 0.05 level of significance, can we conclude that the old guideline is still reasonable?    

Question

The population of France in 1950 was about 41.8 million, while in 1970, it was about 50.8 million. Assume that the population is growing according to the discrete Malthusian growth equation Pn+1 = (1 + r)Pn; with P0 = 41:8;

where P0 is the population in 1950 and n is in decades.

Use the population in 1970 (P2) to find the value of r (to 4 significant figures). If France’s population continued to grow in this manner, find the time for it to double.