Hypothesis Testing and Statistical Analysis: STAT 381 Assignment
VerifiedAdded on 2022/10/19
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Homework Assignment
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This assignment analyzes data from an experiment investigating the energy expenditure of workers using conventional and perforated shovels. The student begins by describing the nature of the data and identifying the paired nature of the observations, suggesting the use of a paired sample t-test. A detailed analysis is presented, including calculations of the t-statistic, degrees of freedom, and p-value to test the null hypothesis. Scatter plots and normal probability plots are constructed and interpreted to assess the distribution of the data. The student calculates a 95% confidence interval for the true average difference in energy expenditure and performs a hypothesis test to determine if the conventional shovel leads to higher energy expenditure. The solution utilizes both t-tests and ANOVA to draw conclusions about the differences in energy expenditure between the two types of shovels, including detailed calculations and interpretations.
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