A psychologist is studying the senses of taste and smell by administering 20 different foods by dropping a liquid on the tongues of students. Based on her past research, the mean number of the 20 foods that students can correctly identify when allowed to taste and smell each food is 13, with a standard deviation of 3, and the distribution of scores follows a normal curve. The psychologist wants to test the hypothesis that people do worse on the task when they are only able to taste but not smell each food. The psychologist then tries the latter procedure on one randomly selected volunteer student and finds the person is able to correctly identify 5 of 20 foods. Conduct a directional test of the hypothesis at p H2 OHN: H1 2 12 and HR: H1