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 to compare durations, so it's an experiment. A sample study is about sampling a population, and an observational study doesn't involve manipulation (just observing without intervention). So the correct answer is B.

The study is appropriate because by recording durations for both routes over time, she can compare the average driving times. Option A is incorrect as no third route is needed. Option B is irrelevant (asking others isn't necessary). Option D: Randomization (like random route assignment each day) isn't always required for a simple comparison here, and the main goal is to compare the two routes, which the study allows. So the correct answer is C.

Answer:

B. Experiment

Second Question: