Question
A highschool teacher is interested in examining the math performance of one particular child, Mike, he has observed over several years. The highschool teacher has
A highschool teacher is interested in examining the math performance of one particular child, Mike, he has observed over several years. The highschool teacher has the mean and standard deviation for each year's maths test along with Mike's score on each test.
Year | Mean | SD | Mike's score |
2018 | 90.5 | 5.1 | 96 |
2019 | 88.7 | 8.8 | 95 |
2020 | 69.5 | 3.4 | 78 |
Calculate the appropriate statistic to evaluate in which year Mike did his best in the math test relative to the other children tested over the years.
To answer this question, we would need to compute a Q1. ABCD for each year, which would be Q2. ABCD for 2018, Q3. ABCD for 2019, and Q4. ABCD for 2020. This would mean that Mike's best math performance was in Q5. ABCD relative to the other children tested over the three years. In that year, he performed better than Q6. ABCD of the other children.
Possible answers for Q1: A) performance B) t-score C) raw score D) z-score
Possible answers for Q2: A) -1.08 B) 0.63 C) 1.08 D) -0.63
Possible answers for Q3: A) 1.85 B) -1.85 C) 0.72 D) -0.72
Possible answers for Q4: A) -2.50 B) -1.67 C) 1.67 D) 2.50
Possible answers for Q5: A) 2018 B) 2019 C) 2020 D) Cannot tell
Possible answers for Q6: A) 49.38% B) 76.42% C) 85.99% D) 99.38%
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