Based on a recent biodiversity study, a microbiologist at UNH thinks there are 3000 bacterial species in your gut lining (=0.10). The microbiologist sampled the gut lining of 27 humans and determined that there was a mean number of 2700 bacterial species, with a standard deviation of 300. Assume that gut bacterial species follows a normal distribution. We want to test if the mean number of bacterial species in a human's gut lining is different from 3000.

1. Using hypothesis testing (six steps - don't need to show drawn figure) and using the p-value method, determine whether or not the null hypothesis of the microbiologists is true. Be sure to compare the p-value to alpha to make your conclusion. Make a conclusion in the context of the situation given