2. On average, does it take less time to find a first job with a BA in Psychology than it does a BA in Sociology? a) Set up the null and alternative hypothesis test (2 pts) b) Define the Random Variable as shown in class. (4 pts) "Extra Credit Based on a sample the average time for a Psychology major was 8.1 months with a sample std of 3.9 months. For a Sociology major the sample yielded an average of 10.6 months with a sample std of 5.1 months. 1. Use this information to draw a picture similar to that shown in class. No values needed along the second axis. (2 pts) 2. Write out the probability statement for the p-value (1pt) 3. In what type of hypothesis testing do we answer Yes or No to pooling? Short answer (1 pt) 4. When is the answer Yes to pooling? One SENTENCE (1pt) 2. On average, does it take less time to find a first job with a BA in Psychology than it does a BA in Sociology? a) Set up the null and alternative hypothesis test (2 pts) b) Define the Random Variable as shown in class. (4 pts) "Extra Credit Based on a sample the average time for a Psychology major was 8.1 months with a sample std of 3.9 months. For a Sociology major the sample yielded an average of 10.6 months with a sample std of 5.1 months. 1. Use this information to draw a picture similar to that shown in class. No values needed along the second axis. (2 pts) 2. Write out the probability statement for the p-value (1pt) 3. In what type of hypothesis testing do we answer Yes or No to pooling? Short answer (1 pt) 4. When is the answer Yes to pooling? One SENTENCE (1pt)