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MINI PROJECT 4A LEARNING GOALS Use statistical software to complete common statistical procedures. Your instructor may provide this data in a spreadsheet or in list form so that you don't have to enter it yourself. Is the manufacturing process working correctly and filling cereal boxes with an average of 20 oz of cereal? Suppose we have the weights of n = 100 boxes of cereal randomly selected from the manufacturing process. 18.6 19.4 19.8 20.3 20.6 20.9 17.8 21.2 18.6 19.4 19.9 20.3 20. 20.9 21.3 17.8 18.7 19.4 19.9 20.4 20.6 21. 18.8 19. 20.4 162 20. 21.4 18.8 19.5 190 20.1 20.4 20. 6 18.2 21.5 19.9 20.1 20.5 16.7 20.7 18. 19.6 20. 20.5 20. 16.8 21.6 18. 19.2 19.6 20.2 20.5 20. 185 21.6 20.2 20.5 20.8 172 18.5 21.8 19.4 19.8 20 20.2 20.5 20.9 21.2 Step 1: State null and alternative hypotheses. Step 2: Use RStudio to calculate x = S = , then make a histogram and a boxplot, and sketch them below. Describe the data and check conditions. 136 Learning Through Practice: Statistical ReasoningMini Project 4A Step 3: Draw a picture of the sampling distribution labeled with the null value and the statistic value, and with the area representing the p-value shaded. Calculate the test statistic value and p-value. Step 4: State the conclusion. Learning Through Practice: Statistical Reasoning 137