Answer
No, see explanations.
Work Step by Step
We first calculate some parameters from the data set.
$n=13, \bar X=65.0, s=51.9$
a. State the hypotheses and identify the claim.
$H_o: \mu\leq 50$
$H_a: \mu\gt 50$ (claim, right tail test)
b. Find the critical value(s).
$\alpha=0.1, df=12, t_c=1.356$
c. Compute the test value.
$t=\frac{65-50}{51.9/\sqrt {13}}=0.35$
d. Make the decision.
Since $t\lt t_c$, we do not have enough evidence to reject the null hypothesis and support the claim.
e. Summarize the results.
There is not sufficient evidence to conclude that the average Trifecta winnings exceed 50.
