A95% confidence interval for a population mean is (28, 35). using the same data at 5% level of significance, what should you decide regarding the hypotheses: = 34 versus ≠ 34 ? a fail to reject the null hypothesis because 34 falls in the 95% confidence interval. b fail to reject the null hypothesis because 34 falls outside the 95% confidence interval. c reject the null hypothesis because 34 falls in the 95% confidence interval. d reject the null hypothesis because 34 falls outside the 95% confidence interval. e there is not enough information to determine.

Can someone factor this fully? my friend and i have two different answers and i would like to know if either of them is right. you in advance. a^2 - b^2 + 25 + 10a

Problems and applications q5 four roommates are planning to spend the weekend in their dorm room watching old movies, and they are debating how many to watch. here is their willingness to pay for each film: willingness to pay (dollars) shen antonio dmitri jake first film 10 9 8 3 second film 8 7 6 2 third film 6 5 4 1 fourth film 4 3 2 0 fifth film 2 1 0 0 within the dorm room, the showing of a movie a public good. if it costs $12 to rent a movie, the roommates should rent movies in order to maximize the total surplus. suppose the roommates choose to rent the optimal number of movies you just indicated and then split the cost of renting equally. this means that each roommate will pay $ .

If a and b are real numbers, then |a-b| is always, sometimes or never equal to |b-a| ?