Question

Sarah has taken two examinations in her statistics class. She scored 35 on the first exam, for which the mean of all scores was 32 and the standard deviation was 5.4. Her score on the second exam, for which the mean of all score was 28 and the standard deviation was 4.0, was 34. In comparison to her classmates, did Sarah do better on the first exam or the second exam?

Answer 1

Please help

Answer 2

for each test, you'll calculate the z-score

\[z = \frac{ x-μ }{ σ }\]
where x is the value in question, μ is the mean, and σ is the standard deviation

let's take the first exam as an example. her score is 35 (that's your x-value), the mean is 32 (μ) and your standard deviation is 5.4 (σ). plug these into the z-score formula and calculate z.

repeat this logic for the second exam.

then see which exam she got a better z-score.