A recent study of business travelers claims they spend an average of $\$ 41.00$ per day on meals. As a test of this claim, a random sampling of 16 business travelers found they had spent an average of $\$ 45.00$ per day with a standard deviation of $\$ 3.65$. What are the critical values for a two-tailed $t$ test of this claim with $\alpha = 0.05$ ?
A) $\pm 1.746$
B) $\pm 2.131$
C) $\pm 1.753$
D) $\pm 2.120$

Question

Quizplus · Accepted Answer

The degrees of freedom (df) for this test is $n - 1 = 16 - 1 = 15$. For a two-tailed $t$ test with $\alpha = 0.05$ and $df = 15$, the critical value from the $t$ distribution table is $\pm 2.131$.

A Recent Study of Business Travelers Claims They Spend an Average