Raul received a score of 77 on a history test for which the class mean was 70 with a standard deviation of 6. He received a score of 79 on a

Question

Raul received a score of 77 on a history test for which the class mean was 70 with a standard deviation of 6. He received a score of 79 on a biology test for which the class mean was 70 with standard deviation 4. On which test did he do better relative to the rest of the class?

in progress 0
Gabriella 2 weeks 2021-09-09T09:31:25+00:00 1 Answer 0

Answers ( )

    0
    2021-09-09T09:33:24+00:00

    Answer:

    He did better on biology test.

    Step-by-step explanation:

    For comparing the scores we need to find z-scores for both subjects,

    We know that,

    z-score or standard score for x is,

    z=\frac{x-\mu}{\sigma}

    Where, \mu is mean,

    \sigma is standard deviation,

    In history test,

    x=77

    \mu=70

    \sigma = 6

    Thus, the z-score would be,

    z_1=\frac{77-70}{6}

    \approx 1.167

    In biology test,

    x=79

    \mu = 70

    \sigma = 4,

    Thus, the z-score would be,

    z_2=\frac{79-70}{4}

    = 2.25

    z_2>z_1

    Hence, he did better on biology test.

Leave an answer

Browse
Browse

27:3+15-4x7+3-1=? ( )