/*! 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 78 To examine whether eating brown ... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

To examine whether eating brown rice affects metabolism, we ask a random sample of people whether they eat brown rice and we also measure their metabolism rate.

Short Answer

Expert verified
The solution to this exercise is not a simple number or fact, but rather it involves conducting an experiment and interpreting the results. The conclusion of the experiment will depend on the data collected but it's important to remember that correlation does not imply causation.

Step by step solution

01

Identify the Variables

Start by identifying the variables in the experiment. In this case, there are two variables: 'eating brown rice' (which can be categorized as 'yes' or 'no') and 'metabolism rate' (which could be measured numerically in various ways).
02

Organize the Data

Once the data from the sample is collected, organize it in a way that allows for easy comparison. A two-column table could be used, with one column for whether the person eats brown rice and another for their metabolism rate.
03

Analyze the Data

Once the data is organized, analyze it to see if any trends or patterns are noticeable. For example, if people who eat brown rice tend to have higher metabolism rates, one might interpret this as there being a correlation.
04

Understand the Limitations

Correlation does not imply causation. Just because there might be a correlation between eating brown rice and having a higher metabolism rate, this does not prove that eating brown rice causes a higher metabolism rate. Other factors might also be in play, and further controlled experiments would have to be conducted to determine causation.
05

Conclusion

Conclude the study by summarizing the findings. Even if there seems to be a correlation, remember to mention that the study does not prove causation and more research would be necessary to determine this.

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 91Ó°ÊÓ!

Key Concepts

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

Variables Identification
Identifying variables is crucial for any statistical analysis, as variables are the characteristics that you measure or observe in a study. In our brown rice experiment, we have two primary variables:

**Eating brown rice** – This is a categorical variable which can take the values "yes" or "no" based on whether participants eat brown rice or not. It acts like a condition or grouping factor that divides your participants into different groups.

**Metabolism rate** – This is a continuous numerical variable that could be measured in various ways, like measuring metabolic rate directly in calories burned per hour. It's the outcome or response variable that we are interested in observing in relation to the choice of eating brown rice.

Proper identification helps in accurately analyzing relationships and drawing valid conclusions. Always ensure that your variables are clearly defined and measured, as the entire study hinges around these precise observations.
Data Organization
Data organization is about arranging collected information to make it easy to understand and analyze. After gathering data on brown rice consumption and metabolism rates, you can organize this data efficiently.

Organized data typically looks like a simple two-column table:
  • The first column can list participants and whether they eat brown rice, marked as 'yes' or 'no'.
  • The second column holds the corresponding metabolism rates of those participants, offering a clear visual comparison between the groups.
With this organization, you can easily see patterns or trends. For example, structured data quickly highlights differences, if any, in metabolism rates across participants based on their brown rice consumption. Good data organization forms the backbone for further accurate analysis and conclusions.
Correlation vs Causation
In statistical studies, understanding the difference between correlation and causation is fundamental. **Correlation** indicates a relationship or pattern between two variables. In our example, you may observe that participants who eat brown rice have higher metabolism rates—this signifies potential correlation.

But, importantly, **correlation does not imply causation**. Just because two variables move together does not mean one causes the other. Other lurking variables or external factors could be influencing these results, like overall dietary habits or physical activity levels.

To establish **causation**, we'd need controlled experiments that account for other factors, ensuring that if metabolism rate changes, it's a direct result of consuming brown rice. Observational studies, like the one we discussed, suggest areas for deeper study but can't definitively prove cause and effect without further evidence.

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

Student Survey Variables Data 1.1 introduced the dataset StudentSurvey, and Example 1.2 identified seven of the variables in that dataset as categorical or quantitative. The remaining variables are: MathSAT \(\quad\) Score on the Math section of the SAT exam SAT \(\quad\) Sum of the scores on the Verbal and Math sections of the SAT exam HigherSAT Which is higher, Math SAT score or Verbal SAT score? (a) Indicate whether each variable is quantitative or categorical. (b) List at least two questions we might ask about any one of these individual variables. (c) List at least two questions we might ask about relationships between any two (or more) of these variables.

New research \(^{62}\) supports the idea that people who get a good night's sleep look more attractive. In the study, 23 subjects ages 18 to 31 were photographed twice, once after a good night's sleep and once after being kept awake for 31 hours. Hair, make-up, clothing, and lighting were the same for both photographs. Observers then rated the photographs for attractiveness, and the average rating under the two conditions was compared. The researchers report in the British Medical Journal that "Our findings show that sleep- deprived people appear less attractive compared with when they are well rested." (a) What is the explanatory variable? What is the response variable? (b) Is this an experiment or an observational study? If it is an experiment, is it a randomized comparative design or a matched pairs design? (c) Can we conclude that sleep deprivation causes people to look less attractive? Why or why not?

Indicate whether we should trust the results of the study. Is the method of data collection biased? If it is, explain why. Take a random sample of one type of printer and test each printer to see how many pages of text each will print before the ink runs out. Use the average from the sample to estimate how many pages, on average, all printers of this type will last before the ink runs out.

For the situations described. (a) What are the cases? (b) What is the variable and is it quantitative or categorical? Record the percentage change in the price of a stock for 100 stocks publicly traded on Wall Street.

Causation does not necessarily mean that there is no confounding variable. Give an example of an association between two variables that have a causal relationship AND have a confounding variable.

See all solutions

Recommended explanations on Math Textbooks

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.