You are an office manager for a company that proofreads patent applications, and you would like to determine a way to increase your workers' productivity. You have heard that certain types of music can increase productivity in an office, and decide to investigate. Over the next couple of weeks, you collect data on how many patents are proofread in an hour when there is no music playing, when classical music is playing, when jazz is playing, and when Top 40 music is playing. The below are the results. Table 1. Mean Standard Deviaton Sample Size No Music 3.489 1.347 167 Classical 4.626 1.169 154 Jazz 4.984 1.284 156 op 40 3.247 1.438 163 Use the information in Table 1 to answer the following questions. A) Calculate a 95% Confidence Interval for the difference between the average number of patents proofread when classical music is playing and when no music is playing. B) Calculate a 95% Confidence Interval for the difference between the average number of patents proofread when jazz is playing and when no music is playing. C) Calculate a 95% Confidence Interval for the difference between the average number of patents proofread when Top 40 music is playing and when no music is playing. D) Test the hypothesis that there is no difference in the number of patents proofread when no music is playing versus when classical, jazz, or Top 40 is playing. E) Based on your results, would you decide to play music in the office? If so, which genre(s)?