Answer all of the following for each problem below: i) What is the parameter? ii) How many samples are there? What are they? How large is each sample? iii) Are the conditions for making an inference met? What kind of procedure should you use (z or t)? iv) What type of inference should you use? v) If it makes sense to do so, carry out the inference from part iv.
1. The Trial Urban District Assessment (TUDA) is a government-sponsored study of student achieve- ment in large urban school districts . TUDA gives a reading test scored from 0 to 500. A score of 243 is "basic" reading level and a score of 281 is "proficient." Scores for a random sample of 1470 eighth-graders in Atlanta had x ¯ = 240 with standard error 1.1. Is there good evidence that the mean for all Atlanta eighth-graders is less than the basic level?