Based on data collected over the years from a variety of engines, it seems reasonable to assume that all emission levels for that type of the vehicles are roughly bell shaped distributed with spread equal to 3. Ten engines are manufactured for testing purposes and the emission level of each is determined. The data result in an average of 22 parts per million. Is it an unusual measure to get for properly working engines? Report the value of the test statistic rounded to two decimals.

1- 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.2- 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 the first question?