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The given claim is that a difference in the means.

We must now determine the appropriate hypotheses for performing a significance test.

As a result, the claim represents either the null hypothesis or the alternative hypothesis. According to the null hypothesis, the population proportions are equal. If the claim is the null hypothesis, then the alternative hypothesis states the inverse of the null hypothesis.

Therefore, the appropriate hypotheses for this are:

$$\begin{gathered} H_0:{渭}_1={渭}_2 \\ {H}_a:{渭}_{1}notequalto{渭}_2 \end{gathered}$$

${渭}_1=$the true mean number of turns required to complete the memory game for music-listening students.

For students who do not listen to music, ${渭}_2$ is the true mean number of turns required to complete the memory game.

There are three requirements that must be met:

It is satisfying because the samples are drawn at random from different populations.

Independent: It is satisfying because the sample of $42$people represents less than $10\%$of the total population.

Normal: It is satisfied because both samples are large, with sample sizes of at least $30.$

As a result, all of the conditions are met, and a hypothesis test for the mean difference is appropriate.