The federal pell grant program provides need-based grants to low-income undergraduate and certain post-baccalaureate students to promote access to post-secondary education. according to the national post-secondary student aid study conducted by the u. s. department of education in 2008, the distribution of pell grant awards for 2007-2008 was right-skewed with an average of $2,600 and standard deviation $500. if we randomly sample 36 pell grant recipients and record the mean pell grant award for the sample, then repeat the sampling process many, many times, what is the mean and standard deviation of the sample means?

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 $ .