Question: Please solve using R Problem 1. Data in the table below describe the hourly packing capacity of two machines that are being tested by a
Please solve using R

Problem 1. Data in the table below describe the hourly packing capacity of two machines that are being tested by a consumer supply company. Use this information to address the tasks below. Machine A 219 224 201 237 227 241 Machine B 184 198 210 228 221 182 1. Do these samples appear to be from normal distributions? Include evidence to support your conclusion. 2. Do the sample variances appear to be the same? Include evidence to support your conclusion. 3. Assuming the data are from normal distributions, test the null hypothesis that the means of the two samples are the same. Clearly state your conclusion and present the justification. 4. What is the 95% two-sided confidence interval of the difference in the mean values? 5. If the company wants to be able to detect a true difference in means = 20, what is the power of the statistical test used to answer question #3? 6. What sample size for each group would be required if the company wants the power of the test to be at least 0.80, and they want to detect a true difference in means = 20? 7. Because the sample size is relatively small, it would be a good idea to use a non-parametric method to compare the means. Select an appropriate test method and present evidence to support your conclusion
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