Respuesta :
Complete question is;
A student scores 56 on a geography test and 267 on a mathematics test. The geography test has a mean of 80 and a standard deviation of 20. The mathematics test has a mean of 300 and a standard deviation of 22.
If the data for both tests are normally distributed, on which test did the student score better?
Answer:
The geography test is the one in which the student scored better.
Step-by-step explanation:
To solve this question, we will make use if the z-score formula to find the w test in which the student scored better. The z-score formula is;
z = (x - μ)/σ
Now, for geography, we are given;
Test score; x = 56
Mean; μ = 80
Standard deviation; σ = 20
Thus, the z-score here will be;
z = (56 - 80)/20
z = -1.2
Similarly, for Mathematics, we are given;
Test score; x = 267
Mean; μ = 300
Standard deviation; σ = 22
Thus, the z-score here will be;
z = (267 - 300)/22
z = -1.5
Since the z-score for geography is lesser than that of Mathematics, thus, we can conclude that the geography test is the one in which the student scored better.
