QUESTION: At the start of the school year all students were given a standardized test. The results showed a mean of 74 and a standard deviation of 8....

QUESTION: At the start of the school year all students were given a standardized test. The results showed a mean of 74 and a standard deviation of 8. At the end of the school year a sample of 95 students were re-tested and their results showed a mean of 82 and a standard deviation of 6. Does this data indicate that average test scores improved after a year of instruction at the 0.05 level of significance?

CALCULATOR SOLUTION: p = 2.694671 E -23

1) list all the quantities both the problem and the solution and label them as to what they represent (you may do this using written words or symbols; where necessary you may write out the spelling of symbol as in 'mu' or 'sigma' or 'p-hat')

AND

2) State your conclusion/answer to the question (based on the given information) in a complete sentence.