Hint 1 Hint 2 Hint 3

Recall our earlier scenario: The Federal Pell Grant Program provides need-based grants to low-income undergraduate and certain postbaccalaureate students to promote access to postsecondary education. According to the National Postsecondary Student Aid Study conducted by the U.S. Department of Education in 2008, the average Pell grant award for 2007-2008 was $2,600. Assume that the standard deviation in Pell grants awards was $500.

1. If we randomly sample 36 Pell grant recipients, would you be surprised if the mean grant amount for the sample was $2,940? Pick the correct response that gives the best reason.
   • Yes, $2,940 would be surprising because this sample result is more than 3 standard deviation from the over all mean grant amount of $2,600.
   • No, $2,940 would not be surprising because the sample result is within 2 standard deviations of the overall mean grant amount of $2,600.
   • No, $2,940 would not be surprising because this sample result is only $340 greater than the overall mean grant amount of $2,600, and we expect there to be variability in sample means.
   • Yes, $2,940 would be surprizing because this sample result is $240 greater than the overall mean grant amount of $2,600.
   
   
   
2. Which distribution is a plausible representation of 100 samples, with each sample containing 50 randomly selected students?
   
   • A
   • B
   • C
   • D