Many fast-food restaurants have soft drink dispensers withpreset amounts, so that when the operator merely pushes a buttonfor the desired rink the cup is automatically filled. This methodapparently saves time and seems to increase worker productivity. Aresearcher randomly selects 9 workers from a restaurant withautomatic dispensers and 9 works from a restaurant with manualdispensers. At a 1% significance level, use the Mann-Whitney U Testto test whether workers with automatic dispensers are significantlymore 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 rank will be given to the observation value, 118 that is inboth the automatic and manual groups? (Round answer to 1 decimal).___________.
When rounding the U test statistic up to the next value, what isthe p-value from the Mann Whitney Table of p-values? (Round to 4decimal places) ___________.
