Question

Kaitlyn and Allison took a standardized algebra test in different states. Kaitlyn takes the test for Virginia and scores a 458. Allison takes the test for North Carolina and scores a 185. Suppose the mean and standard deviation for the algebra scores for Virginia are 405 and 30, respectively, and the mean and standard deviation for the algebra scores for North Carolina are 152 and 20, respectively. Which student did better on her algebra test?

Kaitlyn and Allison did equally well since their scores are both above the mean.
Kaitlyn did better since her z-score is higher than Allison’s z-score.
Allison did better since her z-score is higher than Kaitlyn’s z-score.
Allison did better since her z-score is closer to the mean than Kaitlyn’s z-score.

Answer 1

Kaitlyn did better since her z-score is higher than Allison’s z-score.

Explanation:.

To compare the test scores of Kaitlyn and Allison, we can convert their scores to z-scores, which represent the number of standard deviations each score is above or below the mean for the corresponding state. To do this, we can use the formulas:

z-score = (score - mean) / standard deviation

For Kaitlyn, the z-score is (458 - 405) / 30 = 1.83

For Allison, the z-score is (185 - 152) / 20 = 1.15

Since Kaitlyn's z-score is higher than Allison's z-score, Kaitlyn did better on the algebra test.

Answer 2

B

Explanation:

Got it right on edge