there are four researchers, all studying the income distribution of the same population. there is a sample of 10,000 people, all researchers are using this sample to conduct their studies. researcher 1 is interested in estimating the mean income (that is, a confidence interval for the mean). researcher 2 is interested in the median income. researcher 3 is interested in studying economic inequality by estimating the interquartile range of the incomes. researcher 4 is interested in studying economic inequality by estimating the standard deviation of the incomes. which is false? group of answer choices the research who is studying the mean income can use the t distribution the sampling distribution that each researcher must consider is different from others, because the parameters of interest are different, therefore the statistic is different, and each statistic has its own sampling distribution. the margin of error that the different researchers will calculate will differ, even if they all use the same confidence level.