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?