Do (0,1) and r+ = (0,[infinity]) have the same cardinality? if so, either give an explicit bijection (and prove that it is a bijection) or provide an injection from (0,1) to (0,[infinity]) and an injection from (0,[infinity]) to (0,1) (so that by cantor-bernstein theorem the two sets will have the same cardinality). if not, then prove that they have different cardinalities

For a science project, a high school research team conducted a survey of local air temperatures. based on the results of the survey, the found that the average temperatures were around 10 degrees higher than expected. this result was wrong. the trouble with the survey was that most of the locations were exposed to direct sunlight and located over asphalt or sand, which resulted in higher temperatures than normal. this is a classic example of an error in which phase of inferential statistics?