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Cecil is the manager at a shampoo factory. Recently he has suspected that shampoo bottles contain less shampoo than they should. Cecil began collecting sample bottles from the production line so that he could test them to see if they were underfilled. However, he needed to know if the amount of shampoo in each sample bottle was statistically likely or not.
Cecil knows that the mean amount of shampoo in each bottle should be 9 ounces with a standard deviation of 0.5 ounces. Cecil picks up a bottle and determines that it has 7.5 ounces of shampoo.
Using the following z-table, what is the probability that this bottle is likely to have less shampoo than the rest of the bottles?
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