An English teacher has been teaching a sixth grade composition class for many years. He has the feeling that the writing abilities of his current class are worse than his past students. He has the standardized test scores for all his past students (N=10,000). The resulting distribution of scores was normally shaped, had a mean of u=85 and the sum of squares was 297025. In order to test his feeling he gives his present class of 43 students the same test. The resulting mean is xbar=80 and the Sum of Squares is 3179.
A) state both null and alternative hypotheses in symbols and words.
B)Conduct a complete null hypothesis significance test using the appropriate t test and probability associated with it, deciding on whether or not to reject the null hypothesis, interpreting your results.