An SRS of 500 high school seniors gained an average of ?¯=22 points in their second attempt at the SAT Mathematics exam. Assume that the change in score has a Normal distribution with standard deviation ?=47 . (a) Find a 90% confidence interval for the mean change in score ? in the population of all high school seniors. (Enter your answers rounded to two decimal places.) lower bound of confidence interval:     upper bound of confidence interval:    What is the margin of error for 90% ? (Enter your answer rounded to two decimal places.)   margin of error:

Question

An SRS of 500 high school seniors gained an average of ?¯=22 points in their second attempt at the SAT Mathematics exam. Assume that the change in score has a Normal distribution with standard deviation ?=47 .

(a) Find a 90% confidence interval for the mean change in score ? in the population of all high school seniors. (Enter your answers rounded to two decimal places.)

lower bound of confidence interval:
 
 
upper bound of confidence interval:
 
 What is the margin of error for 90% ? (Enter your answer rounded to two decimal places.)
 
margin of error:
 

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