3. The mean annual tuition and fees in the year 2013-2014 academic year for a sample of 14 private colleges in California was $37,900 with a standard deviation of $7,200. A dot plot shows that it is reasonable to assume that the population is approximately normal. Can you conclude that the mean tuition fees for private institutions in California differs from $36,000? Use the level of significance as a = 0.01 a. What is the parameter being tested here? (0.5 point) MUN b. State the null and alternate hypotheses. (1 point) HO : N = 36,000 HI: NZ 36,000 c. What type of test will be used here (right tailed, left tailed, or two-tailed)? (0.5 point) Two - Tailed d. What distribution should be used and why? (1 point) T - Test e. Compute the value of the test statistic(s). (1 point)2. Interpret the calculator display: T-Test H 1.8. Use the information in the display to compute the t- statistic and P-value for this test. (2 points) f. Can the null hypothesis in the part above be rejected at a = 0.05 level? Explain. (1 point)f. Use P-value or Critical Value method to analyze the sample data. (3 points) i. Draw the graphs appropriately ii. Show the work or Graphing calculator functions used to analyze the data. g. State the conclusion in a complete sentence. (1 points) 4. An antifungal medication was applied to the skin of eight adult subjects. One hour later, the amount or active ingredient that had been absorbed into the skin was measured for each subject. The results, in micrograms, were 2.13 1.88 2.07 1.19 2.51 5.61 2.81 3.05 A boxplot of the data determines that it is appropriate to perform a hypothesis test. Determine whether the mean amount absorbed is less than 3 micrograms. Use a = 0.05. Show all the steps shown above (from a to g) to get full points. (7 points)