Homework: Section 7.2 Homework Score: 0 of 2 pts 1] 7017 (1 complete) ? HW Score

Question

Homework: Section 7.2 Homework Score: 0 of 2 pts 1] 7017 (1 complete) ? HW Score: 15.569 Questic Anna, a business major, took final exams in both Microeconomics and Macroeconomics and scored 86 on both. Her roommate Megan, also taking both courses, scored 75 on the Micro exam and 86 ont exam. Overall, student scores on the Micro exam had a mean of 80 and a standard deviation of 3, and the Macro scores had a mean of 70 and a standard deviation of 13. Which students overall performance was beter? Expiain. Choose the correct answer below. O A, Megan performed better than Anna because the sum of Megan's z-scores is geater than the sm of Ara tseor, O B. Anna performed better than Megan because the sum of Anna's z-scores is greater than the sum of Megan's z-scores ? c. Anna performed better than Megan because the sum of Anna's scores is smaller than the surn of Megan's zsores. ? D. Megan performed better than Anna because the sum of Megan's Z-scores is smaller than the sum of Annas zoores.

Explanation / Answer

Answer : (B)

Anna z score for microeconomics exam => z =( 86-80)/3 = 2

Z score = 0.9772

For macroeconomics : z=(86-70)/13 = 1.23

Z score = 0.8907

Sum of Anna's z score = 1.8679

For Megan :

Microeconomics z = (75-80)/3=-1.666

Z score = 0.0485

Macroeconomics z = (86-70)/13 =1.23

Z score = 0.8907

Sum of Megan's z score = 0.9392

Sum of z score of anna is greater than that of Megan.

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