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

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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.

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