On the math portion of the sat, the mean score was 510 with a standard deviation of 95. on the verbal portion, the mean score was 530 with a

Question

On the math portion of the sat, the mean score was 510 with a standard deviation of 95. on the verbal portion, the mean score was 530 with a standard deviation of 85. you now know the mean of the combined score is 1040 with a standard deviation of 127.48. given that these are normal distributions, you can do normal calculations with the combined statistics. what is the probability that a random student scored 1100 or better?

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2022-04-09T02:03:28+00:00 0 Answers 0

Answers ( 1 )

  1. Eva
    0
    2022-04-09T02:04:33+00:00

    the probability that a random student scored 1100 or better will be found as follows:
    z-score is given by:
    z=(x-
    u03bc)/u03c3
    where:
    u03bc-mean
    u03c3-standard deviation
    thus the z-score for this situation will be:
    z=(1100-1040)/127.48
    z=0.4707
    Thus:
    P(x>1100)=1-P(z<0.4707)=1-0.6808=0.3192

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