2. A psychologist is interested in how the game "Words with Friends" affects the vocabulary skills of 8th graders in the United States. The psychologist conducts an experiment in which a random sample of n = 25 8th grade students are required to play "Words with Friends" for 1 hour per day for an entire week. At the end of the experiment, the students are given a standardized vocabulary test which has a mean of = 60, and standard deviation of = 10.The sample of 25 8th graders had a mean score of M = 55.

Use the above data to perform the six steps of the appropriate hypothesis test. a. Conduct Step 1 of a hypothesis test for this scenario by stating the populations, comparison distribution, and assumptions for the test you are to conduct. Be sure to discuss if each assumption is met or not.

b. Conduct Step 2 of a hypothesis test for this scenario. Please state the null (H:) and research (H,:) hypotheses both in words and in notation [2 pts] Note: Here are a few mathematical & symbols you may need: <. >, =, #,

c. Conduct Step 3 of a hypothesis test for this scenario by calculating the standard error. Please show your calculations. [4 pts] simply typing using parentheses ( ) and brackets [ ]

d. Conduct Step 4 of a hypothesis test for this scenario using an a = .01. Be sure to include a sketch of the distribution with your critical values. [4 pts]

e. Conduct Step 5 of a hypothesis test for this scenario by calculating your test statistic [2 pts]

f. Conduct Step 6 of a hypothesis test by determining your conclusion. Be sure to explain your conclusion and include your sketch from Step 4 with the calculated test statistic marked on the distribution. [4 pts]