The local school board has instituted a book rewards program intended to encourage third graders to read more, thereby increasing their scores on a standardized vocabulary test. Nationally, the...

The local school board has instituted a book rewards program intended to encourage third graders to read more, thereby increasing their scores on a standardized vocabulary test. Nationally, the average score on this exam among third graders is 98. A random sample of 223 local third graders participating in the program scored an average of 104 on the test with a standard deviation of 13. Conduct a significance test with a=.05 to answer the research question:
Is the program

working to significantly increase

local third graders' vocabulary scores?

• 
  Is this a random sample or an independent random sampler?
  

• With an alpha of .05, what is your critical score?

• What is your obtained score?

• What is the probability that your obtained score is wrong, assuming the null hypothesis is true?