In a study regarding ants in Mongolia, scientists randomly selected 11 study sites and observed the number of ant species attracted to each site. They found that the mean was 12.82 species with a standard deviation of 18.68 species.

a. Is this evidence that the mean number of ant species differs from 5 for α = .05? Be sure to interpret your p-value
b. It turns out that the data is highly skew right. Should you trust the results of your test in part ??? Why or why not?
c. It turns out that there are two results that the scientists are willing to regard as outliers due to extenuating circumstances at those sites. They have values of 49 and 52. i. If you remove the two outliers, what is the new sample mean? ii. Given that the new standard deviation is 1.236, is this evidence that the mean number of ant species differs from 5 for α = .05? Be sure to interpret your p-value