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Perplex
IB Math AISL
/
Inference & Hypotheses
/

Problem Bank

IB Math AISL
/
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]

Ask Plex AI about this problem

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[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]

Ask Plex AI about this problem

Get hints, ask questions, and work through this problem step by step

I'm Plex, here to help with problems on this worksheet!