Lab Activity 9 One-Way Analysis of Variance (ANOVA)

Preview (3 of 9 Pages)

100%

Lab Activity 9 One-Way Analysis of Variance (ANOVA) - Page 1 preview image

Loading page ...

Lab Activity 9One-Way Analysis of Variance (ANOVA)Data Set: Hot DogOne-way analysis of varianceis a method for comparing several populationmeans, when the data arefrom independent samples. It a test that examines the relationship between a quantitative responsevariable and a categorical explanatory variable, also called factor that has at least three levels or groups.1.Determining if ANOVA is AppropriateIn each part below determine if ANOVA can be used to analyze the scenario. IF ANOVA can be used,write the null and alternative hypotheses.Hint: Since ANOVA is used only in scenarios with a quantitative response variable andcategorical explanatory variable (or factor) that has at least three levels, you may find it helpfulto first identify the response and explanatory variables and determine if they are categorical orquantitative.a.A psychologist wants to determine if there is a relationship between weather (sunny, partlycloudy, heavy rain, etc.) and mood (happy, carefree, tired, etc.).i. Can ANOVA be used? Explain.Since both theexplanatory(weather)and response(mood)variables are categorical, ANOVAcannot be used here.IFANOVA can be used, write the null and alternative hypotheses:ii. Ho:iii. Ha:b.An executive of a national construction company is trying to determine how to be “low bid” onmore estimates in order to get more jobs. She compares the cost of lumber in dollars in differentregions of the United States, specifically, the North, South, East, and West to generate more accurateestimates.i. Can ANOVA be used? Explain.Since the explanatory variable (region) is categorical and the response variable (cost of lumbar)is quantitative,ANOVA can be used here.IFANOVA can be used, write the null and alternative hypotheses:ii.Ho:The meancostsof lumber in different regions of the United Statesare identical.iii.Ha:At least two regions differ significantly in the meancostsof lumber.

Lab Activity 9 One-Way Analysis of Variance (ANOVA) - Page 2 preview image

Loading page ...

Lab Activity 9 One-Way Analysis of Variance (ANOVA) - Page 3 preview image

Loading page ...

c.An HR manager believes that just because employees work long hours does not mean they areproductive, agreeing with this article, “Get a Life,” from September 24, 2013 in The Economist(http://www.economist.com/blogs/freeexchange/2013/09/working-hours). To test this, the HR managerwants to see if there is a relationship between salary, measured by yearly earnings in dollars, andamount of time worked during the year.i.Can ANOVA be used? Explain.Since both the explanatory(amount of time worked)and response(salary)variables arequantitative, ANOVA cannot be used here.IFANOVA can be used, write the null and alternative hypotheses:ii. Ho:iii. Ha:d. A nutritionist wants to see if grocery buying habits vary based on level of education. The nutritionistcompares the average amount spent in dollars on organic food for three different levels of education:high school diploma, college degree, or advanced degree.i. Can ANOVA be used? Explain.Since the explanatory variable (level of education) is categorical and the response variable(amount spent on organic food) is quantitative, ANOVA can be used here.IFANOVA can be used, write the null and alternative hypotheses:ii.Ho:The meanamounts spent on organic foodin differentlevels of education are identical.iii.Ha:At least two levels of education differ significantly in the meanamounts spent on organicfood.e. Given the recent news of Ebola, the US government is trying to keep everyone living in the US atease. A government official wants to see if their efforts have been successful. He interviews 100people of various age groups (18-30, 31-45, 45-60, 60-75, 75+) on how worried they are aboutcontracting Ebola on a scale of 1-5, where 1 is not at all worried and 5 is very worried.i. Can ANOVA be used? Explain.Since the explanatory variable (age group) is categorical and the response variable (level ofworry about Ebola) isalso categorical (ordinal), ANOVA cannot be used here.IFANOVA can be used, write the null and alternative hypotheses:ii.Ho:iii.Ha:2.Exploring ANOVA Visually

Preview Mode

This document has 9 pages. Sign in to access the full document!

Report

Study Now!

Document Details

Related Documents

Statistics - Univariate Inferential Tests

Statistics - Sampling

Statistics - Probability

Statistics - Principles of Testing

Statistics - Numerical Measures

Statistics - Introduction to Statistics

Statistics - Graphic Displays

Statistics - Cummulative Reviews

Statistics - Common Mistakes and Tables

Statistics - Bivariate Relationships

Company

Explore

Study Tools