Use = 0.05 for all problems.) You work for a worksheet development company. They claim that with their new program participants will gain an average of = 10 vocabulary words in the first month. A random sample is taken from the school roster of 3rd graders and the following data was collected on their vocabulary gains. The population standard deviation is =2.5. Is there a difference between the company's claim and the sample data? (Show your five steps.) Vocabulary increase after one month in words: 20, 12, 7, 12, 18, 6, 12, 11, 13, 6, 8, 11, 7, 8, 11, 8, 10, 9, 18, 6, 15, 10, 8, 15