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Mathematics, 18.02.2020 18:49 AaronMicrosoft15

The microbeers W20.csv dataset is a representative sample of 1,240 microbrews from around the United States. The variable abv represents the percent of alcohol by volume for each craft beer. According to the National Institute of Health, one standard serving of alcohol is 12 ounces of regular beer, which is usually about 5% alcohol by volume (abv). Does the sample of microbrews provide evidence the average alcohol by volume of all craft beers is different from a standard serving of beer at 5% abv? Use this dataset and the R script DA5_t_procedures. R to complete the following: A. What is the parameter of interest in this scenario? Provide the symbol and context. B. State the null and alternative hypothesis to answer the question of interest. C. Make a histogram or boxplot to visualize the variable abv. Is there visual evidence the average alcohol by volume is different than 5%? D. Calculate the sample mean and standard deviation using R. State the values. E. Check the conditions for inference. State them and whether they are met. F. Calculate the test statistic by hand. Show work. G. State the p-value. Is it one-sided or two-sided? H. Calculate the 95% Confidence Interval by hand. Show work. I. Use the totest, command in R to verify the results of the t-test. How do your answers compare? J. From the R output, write a four-part conclusion describing the results. Use a = 0.05. Provide a statement in terms of the alternative hypothesis. State whether (or not) to reject the null. Give in context an interpretation of the point and interval estimate. Include any other information you might feel to relevant.

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The microbeers W20.csv dataset is a representative sample of 1,240 microbrews from around the United...

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