Scientists at the Ministry of Natural Resources are studying the buffalo population in all Canadian National parks. In particular they want to know the number of live calves born to the buffalo this year. A random sample of 45 National Parks reveals that the number of live births on average was 1092 live buffalo calf births, with a standard deviation of 660 live buffalo calf births. (Round all statistics and answer to four decimal places)

(a) Calculate and construct, the 95% confidence interval estimate for the average number of live buffalo births in Canada Parks this year. (3 points)

(b) INTERPRET YOUR RESULTS

(c) The confidence interval above was given to the Minister of Natural Resources and she indicated that in order to have a stable population of Buffalo in Canadian parks we need to have 1700 live buffalo calf births this year. Is it possible that the population mean of all live buffalo calf births for this year, could be 1700?