Answer
No, see explanations.
Work Step by Step
Based on the given data sets, we can calculate some parameters (1 for single, 2 for married)
$\bar X1=120.1, n1=35, \sigma1=16.7$, and $\bar X2=117.8, n2=35, \sigma2=16.1$
a. State the hypotheses and identify the claim.
$H_o: \mu1-\mu2=0$
$H_a: \mu1-\mu2\gt0$ (claim, right tail test)
b. Find the critical value(s).
$\alpha=0.01, z_c=2.33$
c. Compute the test value.
$\sigma_{\bar X1-\bar X2}=\sqrt {\frac{\sigma_1^2}{n1}+\frac{\sigma_2^2}{n2}}=3.92$
$z=\frac{120.1-117.8}{3.92}=0.59$
d. Make the decision.
Since $z\lt z_c$, we do not reject the null hypothesis.
e. Summarize the results.
At α= 0.01, it can not be concluded that single drivers do more driving for pleasure trips on average than married drivers
