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  • Perplex
    IB Math AIHL
    /
    Inference & Hypotheses
    /

    Problem Bank

    [Maximum mark: 8]

    Dr. Z thinks his class performed better on a recent exam than Mr. X's class. The scores of students in each class are displayed in the following table:

    <ul>
<li>A two-row table with gridlines. The top has a merged header cell labeled “Score” spanning five columns.</li>
<li>Row labels at the left: “Dr. Z” and “Mr. X.”</li>
<li>Dr. Z row contains five scores under the header: 72, 67, 70, 67, 71.</li>
<li>Mr. X row contains seven scores: 64, 72, 61, 69, 55, 71, 66. The last two cells extend beyond the span of the “Score” header.</li>
</ul>

    Dr. Z decides to conduct a ​t​-test at the ​10%​ significance level.

    1. Write down the null and alternative hypotheses for this test.

      [1]

      To earn a crown, get your answer ready before you reveal the options!

    2. Determine with justification the conclusion of this test.

      [5]
    3. State the two assumptions Dr. Z makes in using a ​t​-test.

      [2]

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