ACTIVITY 8: T-Distribution A. Given A = 30,o = 4.5, find the raw score of the following. HINT: use z = =". Choose your answer from the choices in the next column and write your answers before the number. (10 points) 1. z = 1.25 a. 38.82 2. z = 1.96 b. 28.65 3. 2=-1.67 c. 22.49 4. z = 2.3 d. 24.38 5. z=-0.30 e. 40.35 f. 35.63 B. Find the critical value in the t-distribution table, df = n -1. Write your answer before the number. (10 points) 1. n = 13 at 99% confidence level a. 2.052 2. n = 28 at 95% confidence level b. 3.012 3. n = 30 at 90% confidence level c. 1.699 4. df = 50 at 99% confidence level d. 1.711 5. df = 24 at 90% confidence level e. 2.678 f. 3.055 C. The average time it takes a group of SHS students to complete a statistics test is 54.8 minutes. The standard deviation is 5 minutes. We shall assume that the data is normally distributed. What is the probability that a randomly chosen SHS student will complete the test in less than 53 minutes? 1. Identify the given information (3 points) 2. Identify what is asked (2 points) P(x When dealing with an individual data obtained from the population, the formula to be used to 3. Identify the formula to be used. (2 standardize 53 would be points) Z = substitute the given to the formula Z = Z= 4. Solve the problem. (6 points) Get the area under a normal curve. P( ) = 0.5 - So, the probability that a randomly chosen SHS 5. State the final answer (2 points) student will finish the test in less than 53 minutes is