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 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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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 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%

Expert Solution
Step 1

Given information:

Here, the table of mean, standard deviation, and score mikes math score is given for the three years.

Year Mean SD Mike's Score
2018 90.5 5.1 96
2019 88.7 8.8 95
2020 69.5 3.4 78
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