4. Determination of sample size Suppose UH housing office is conducting a research about student housing. They are interested in the following questions: (a) How much per month (in $) are students willing to spend on a onebedroom apartment near campus? (b) How many % of students intend to commute to campus vs. staying around campus? For question (a), assume that based on previous studies, the population standard deviation is around $500. The researcher would like to obtain a margin of error of around $100. Compute the sample size that is needed. For question (b), the researcher would like to obtain a margin of error of around 5%. Compute the sample size that is needed