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    Statistics - Multiple Choice Questions

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    1) If Larry gets a 70 on a physics test where the mean is 65 and the standard deviation is 5.8, where does he stand in relation to his classmates? (Points: 5)
    He is in the top 10%.
    He is in the top 20%.
    He is in the bottom 20%.
    He is in the bottom 10%.

    2. Let's assume you have taken 100 samples of size 64 each from a normally distributed population. Calculate the standard deviation of the sample means if the population's variance is 49. (Points: 5)
    0.875
    0.125
    0.766
    0.587

    3. Find P(11 < x < 16) when mu = 15 and sigma = 3. (Points: 5)
    0.6293
    0.3707
    0.0918
    0.5375

    4. Interpret a 90% confidence interval of (4.355, 4.445) for a population mean.

    5. ) In the standard normal distribution, the variance is always (Points: 5)
    0
    1
    2
    none of these

    6. The area under a normal curve with mu = 15 and sigma = 2 is (Points: 5)
    0
    1
    2
    none of these

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    Solution Preview

    (1) z = (x - m)/s = (70 - 65)/5.8 = 0.8621

    P(z > 0.8621) = 0.1943 or (19.43%), which means Larry is in the top 20%, ...

    Solution Summary

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