Jean lives about 10 miles from the college where she plans to attend a 10-week summer class. There are two main routes she can t

Question

2 days ago

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Jean lives about 10 miles from the college where she plans to attend a 10-week summer class. There are two main routes she can t

ake to the school, one through the city and one through the countryside. The city route is shorter in miles, but has more stoplights. The country route is longer in miles, but has only a few stop signs and stoplights. Jean sets up a randomized experiment where each day she tosses a coin to decide which route to take that day. She records the following data for 5 days of travel on each route.
Country Route - 17, 15, 17, 16, 18
City Route - 18, 13, 20, 10, 16
It is important to Jean to arrive on time for her classes, but she does not want to arrive too early because that would increase her parking fees.
A) Based on the data gathered, which route would you advise her to choose?

Mathematics

1 answer:

PIT_PIT [11K] · Answer 1 · 2026-04-03T05:27:08+03:00

Answer:

We would recommend the Country Route as its travel time is consistently estimated between 15 and 18 minutes.

Step-by-step explanation:

Jean lives approximately 10 miles away from the college where she plans to attend a summer class lasting ten weeks. She has two primary routes available, one that traverses the city and another that goes through the countryside.

Jean has set up a randomized trial in which she flips a coin each day to determine her travel route, collecting data from five days for both.

Country Route - 17, 15, 17, 16, 18 (in minutes)

City Route - 18, 13, 20, 10, 16 (in minutes)

Next, we need to evaluate which route is superior for Jean.

The data indicates that the Country route has timing ranging from 15 to 18 minutes, suggesting she will typically arrive within this timeframe.

Conversely, the City route timings show significant variation with a minimum of 10 minutes and a maximum of 20 minutes, indicating uncertainty regarding her arrival time.

Hence, it is advisable for her to select the Country route.