Many fast-food restaurants have soft drink dispensers with preset amounts, so that when the operator merely pushes a button for the desired rink the cup is automatically filled. This method apparently...

Extracted text: Many fast-food restaurants have soft drink dispensers with preset amounts, so that when the operator merely pushes a button for the desired rink the cup is automatically filled. This method apparently saves time and seems to increase worker productivity. A researcher randomly selects 9 workers from a restaurant with automatic dispensers and 9 works from a restaurant with manual dispensers. At a 1% significance level, use the Mann-Whitney U Test to test whether workers with automatic dispensers are significantly more productive. Automatic (Group 1): 153, 128, 143, 110, 152, 168, 144, 137, 118 Manual (Group 2): 105, 118, 129, 114, 125, 117, 106, 92, 126 What is the alternative hypothesis for this study? O There is no difference in worker productivity between restaurants with automatic and manual dispensers. O Worker productivity is lower with automatic dispensers. O Automatic dispensers fill cups faster than manual dispensers. O Worker productivity is higher with automatic dispensers. What rank will be given to the observation value, 118 that is in both the automatic and manual groups? (Round answer to 1 decimal). When rounding the U test statistic up to the next value, what is the p-value from the Mann Whitney Table of p-values? (Round to 4 decimal places) What can be concluded from this study at a 1% significance level? O Worker productivity is lower with automatic dispensers. O There is no difference in worker productivity between restaurants with automatic and manual dispensers. O Worker productivity is higher with automatic dispensers. O Automatic dispensers fill cups faster than manual dispensers.