The nicotine content in cigarettes of a certain brand is Normally distributed with standard deviation = 0.2 milligrams. The brand advertises that the mean nicotine content of their cigarettes is =1.8. A researcher believes that mean nicotine content is higher than the brand claims and decided to conduct a hypothesis test. Assumea random sample of 100 cigarettes of this brand gave a mean of x = 1.85. Conduct a full hypothesis testing. Test at 5% level of significance. (Show your work for full credits, make sure to state your hypotheses, test statistic, p value, and conclusion.)