Question:Monica’s reading comprehension score = 22     Mean fourth grade reading comprehension score = 19

 
Standard deviation of the fourth grade’s reading comprehension = 1.8
 
Monica’s z-score in math = 2.2
 
Mean fourth grade math score = 180
 
Standard deviation of the fourth grade’s math scores = 11.8
Word problem: Lucy wants to know how her fourth-grade daughter, Monica, scored on a test of reading comprehension compared to the population of other fourth graders in the school district. Luckily, Lucy has taken this course and knows that a z-score will help her understand Monica’s reading score in relation to the population.
The following problem has these questions that I am not sure how to find. I have listed the information about Monica above in order to use the information to help solve the issue. I need to know:
How to find the z score?
When alpha is set at .05, the critical value is +1.96, should I reject the null hypothesis or retain it?
Are these results significant?
What should Lucy conclude about Monica’s reading comprehension score in comparison to the population?

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