/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 14 Give an example of a decision in... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 14

Give an example of a decision in your own life, such as which route to take to school, for which you think statistics would be useful in making the decision. Explain how you could collect and process information to help make the decision.

Short Answer

Expert verified
Statistics can help determine the best route by analyzing average and variability in travel times for different routes.

Step by step solution

01

Identify the Decision

The decision in question is determining the best route to take to school. This problem involves evaluating different routes to find the most efficient one based on time, distance, or other factors (e.g. traffic).
02

Determine the Data Needed

Consider factors that affect travel time, such as average speed, distance, and traffic patterns. You'll need data on travel times for different routes, as well as information on traffic during various times of the day.
03

Collect the Data

Collect data by traveling each route multiple times at different times of the day and recording the total time taken. Additionally, gather traffic data (e.g. from apps or websites) for each route during those times.
04

Organize the Data

Organize the data into a structured format such as a table. Include columns for the route, time of day, travel time, and any traffic incidents observed. This organization helps in analyzing trends.
05

Analyze the Data

Calculate the average travel time for each route using the collected data. Use statistical measures, like mean and variance, to understand the typical travel time and how much it varies.
06

Compare the Routes

Using the averages and variability, compare the routes to determine which has a consistently shorter travel time. Consider trade-offs such as stability of travel time versus the shortest average time.
07

Make the Decision

Based on the analysis, choose the route that offers the best balance of average travel time and reliability (least variability). This route should be the most efficient considering your specific priorities.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Data Collection
In the journey of statistical decision-making, data collection plays an essential role. It's crucial because the quality and reliability of our decisions depend largely on the data we gather. To figure out the ideal route to school, you'll need to think about several aspects.
  • First, consider factors that typically affect travel. These include average speed, distance, and traffic congestion at different times of the day.
  • You can gather data firsthand by traveling each potential route several times throughout the day. Keep track of the total time it took and note any traffic jams you experienced.
  • Don't forget to supplement your personal observations with additional traffic data sources, like apps or websites that provide real-time traffic updates.
This comprehensive approach helps to ensure that you're collecting a thorough and varied set of data. By doing so, you'll be better equipped to make a more informed decision.
Data Analysis
Once you have your data collected and organized, the next step is data analysis. This process involves examining the data to draw meaningful conclusions.
  • Start by calculating the average travel time for each route. This will give you a general understanding of how long each route takes.
  • It's also wise to calculate the variance in travel times. Variance measures how much the travel times differ from the average time, thus providing insights into the stability of each route.
Incorporating these statistical measures allows you to grasp not just the average travel time but also the consistency of each route. In a nutshell, data analysis turns raw data into usable information, enabling more nuanced decisions.
Traffic Patterns
Understanding traffic patterns is vital when choosing the best route. Traffic can fluctuate due to various factors, affecting travel time significantly.
  • Analyze the traffic patterns by looking at how they change across different times of the day or even days of the week. This can be done through your data collection phase and supplemented by traffic reports.
  • Consider how often traffic jams occur on a particular route compared to others. Frequent congestion points may suggest the need to avoid certain roads during high traffic hours.
By gaining insights into traffic patterns, you'll have a broader context for understanding why certain routes may consistently take longer. This knowledge allows for more strategic planning, helping to choose the route that offers the smoothest and most reliable journey.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Suppose a researcher would like to determine whether one grade of gasoline produces better gas mileage than another grade. Twenty cars are randomly divided into two groups, with 10 cars receiving one grade and 10 receiving the other. After many trips, average mileage is computed for each car. a. Would it be easier to detect a difference in gas mileage for the two grades if the 20 cars were all the same size, or would it be easier if they covered a wide range of sizes and weights? Explain. b. What would be one disadvantage to using cars that were all the same size?

Suppose researchers want to know whether smoking cigars increases the risk of esophageal cancer. a. Could they conduct a randomized experiment to test this? Explain. b. If they conducted an observational study and found that cigar smokers had a higher rate of esophageal cancer than those who did not smoke cigars, could they conclude that smoking cigars increases the risk of esophageal cancer? Explain why or why not.

In its March \(3-5,1995\) issue, \(U S A\) Weekend magazine asked readers to return a survey with a variety of questions about sex and violence on television. Of the 65,142 readers who responded, \(97 \%\) were "very or somewhat concerned about violence on TV" (USA Weekend, 2-4 June 1995, p. 5). Based on this survey, can you conclude that about \(97 \%\) of all U.S. citizens are concerned about violence on TV? Why or why not?

Universities are sometimes ranked for prestige according to the amount of research funding their faculty members are able to obtain from outside sources. Explain why it would not be fair to simply use total dollar amounts for each university, and describe what should be used instead.

Suppose the officials in the city or town where you live would like to ask questions of a "representative sample" of the adult population. Explain some of the characteristics this sample should have. For example, would it be sufficient to include only homeowners?
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

Read Explanation

Pure Maths

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.