Abiology class conducts a bird count every week during the semester. using the number of species counted each week, a student finds a 95% confidence interval of (16.34,18.69) for the mean number of species counted. knowing that species have to be whole numbers, the student reports that 95% of the bird counts saw 16, 17, or 18 species. comment on the student's report.

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?