A survey on 1512 high school senfors who took the SAT and who completed an optional web survey between April 25 and April 30, 2007 shows that 55% of high school seniors are fairly certain that they will participate in a study abroad program in college. a) Is this sample a representative sample from the population of all high school seniors in the US? ONo. The sample only represents students who took the SAT, and this was also an online survey, so only students who had internet access could complete it. O No. The sample is not large enough to be representative. Yes. Each member of the population has an equal probability to be selected. Yes. The sample was obtained through randomization. b) Let's assume the conditions for inference are met (even if your answer to part A shows otherwise). Construct a 90% confidence interval for the proportion of high school seniors (of those who took the SAT) who are fairly certain they will participate in a study abroad program in college. Round your answer to 4 decimal places. Lower bound: Upper bound:

" The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 71.4% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick eight first-time, full-time freshmen from the survey. You are interested in the number that believes that same-sex couples should have the right to legal marital status"I need help constructing the probability distribution function (PDF). (I need to round the probabilities to five decimal places.)   x P(x) 0   1   2   3   4   5   6   7   8

4) Students in two fifth grades were given the same English test. One class of 27 students had a mean of 69 and the second class of 23 students had a mean of 74. What is the mean for the total number of students in both classes to the nearest 0.1?oielusiso pnidgst bomro

There are​ 15,958,866 adults in a region. If a polling organization randomly selects 1235 adults without​ replacement, are the selections independent or​ dependent? If the selections are​ dependent, can they be treated as independent for the purposes of​ calculations?   Are the selections independent or​ dependent?     A. The selections are​ dependent, because the selection is done without replacement.   B. The selections are​ dependent, because the sample size is not small relative to the population.   C. The selections are​ independent, because the sample size is small relative to the population.   D. The selections are​ independent, because the selection is done without replacement.     If the selections are​ dependent, can they be treated as independent for the purposes of​ calculations?     A. ​Yes, because the sample size is greater than​ 5% of the population.   B. ​Yes, because the sample size is less than​ 5% of the population.   C.…