the null hypothesis that the two population means are equal against the alternative that the true mean is higher for students taking the preparation course.

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Click the icon to view the critical values of the Student's t distribution.

Let ${}_1$ be the mean test scores for those who took the preparation course and let ${}_2$ be the Choose the correct answer below.

A$.H_0$:${}_1-{}_2=0H_1$:${}_1-{}_{2}0$

$H_0$:${}_1-{}_{2}0$

$H_1$:${}_1-{}_2<0$

The test statistic is $t=($Round to three decimal places as needed.$)$

Achievement test scores

$\backslash$table$[[$Sample$,$Took course,$\backslash$table$[[$Did not take$],[$course$]]],[1,65,47],[2,63,87],[3,62,85],[4,70,55],[5,60,78],[6,87,80],[7,88,82],[8,92,88],[9,99,98],[10,67,50],[11,80,70],[12,82,73],[13,97,95],[14,96,94],[15,74,61],[16,73,59],[17,91,86],[18,77,65],[19,75,62],[20,61,81]]$

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B$.$

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