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Comprehension score in comparison to the population

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Reference no: EM132122231

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?

Reference no: EM132122231

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