Test statistic for slope

Elvin collected the scores of a random sample

41

students on the first exam in a certain class and their corresponding scores on the second exam in that class. Here is computer output on the sample data:

Summary statistics
Variable	n	Mean	StDev	SE Mean
$x = first exam score$ ‍	$41$ ‍	$59.5$ ‍	$19.7$ ‍	$3.1$ ‍
$y = second exam score$ ‍	$41$ ‍	$59.4$ ‍	$21.7$ ‍	$3.4$ ‍

Regression: second exam score vs. first exam score
Predictor	Coef	SE Coef
Constant	$6.985$ ‍	$6.65$ ‍
First exam score	$0.881$ ‍	$0.11$ ‍
$S = 13.2$ ‍	$R-sq = 62.89 %$ ‍

Assume that all conditions for inference have been met.

Which of these is an appropriate test statistic for testing the null hypothesis that the population slope in this setting is $0$ ‍?

AP®︎/College Statistics

Course: AP®︎/College Statistics > Unit 13

Problem