Question

giovanna has two possible driving routes to her new workplace, and she is having a hard time figuring out which is faster. the first route is shorter, but usually has more traffic than the second route.

she decided to conduct a small study. over a period of 5 weeks, she used the first route in the first half of the week (monday, tuesday, and wednesday), and the second route in the second half of the week (thursday and friday). each day she recorded how long it took her to get to work, and by the end of the 5 weeks she calculated the average driving duration for each route.

what type of statistical study did giovanna use?

choose 1 answer:
a sample study
b experiment
c observational study

is the study appropriate for the statistical questions it’s supposed to answer?

mark the most suitable choice.

choose 1 answer:
a no, because she didn’t compare the two routes with a third, neutral route.
b no, because she should’ve asked someone else to drive.
c yes, because it allows to compare between the driving durations in the two routes.
d no, because there was no randomization.

Explanation:

First Question:

An experiment involves manipulating variables (here, choosing different routes) and observing the outcome (driving duration). Giovanna actively chose which route to take on different days and measured the result, so it's an experiment. A sample study is about selecting a sample from a population, and an observational study is about observing without manipulation (but here she manipulated the route choice).

The study is appropriate because by using both routes over time and calculating averages, she can compare the driving durations of the two routes. Option A is incorrect as no third route is needed. Option B is irrelevant (asking others to drive isn't necessary). Option D: Randomization (like random route assignment each day) would be better, but the study still allows comparison (even without randomization, the repeated use of both routes over weeks gives data to compare). However, the key is that the study's design (using both routes and measuring times) enables comparing the two routes' durations, so the answer is C.

Answer:

B. Experiment

Second Question: