1. a. In complete sentences, explain why each statement is false. i. Data 1 has more data values above 2 than Data 2 has above 2. ii. The data sets cannot have the same mode. iii. For Data 1, there are more data values below 4 than there are above 4. o b. For which group, Data 1 or Data 2, is the value of "7" more likely to be an outlier? Explain why in complete sentences 2. "We need to talk, Ben," said Melissa. "I know we have eight children, but I want a boy! My dad is a math teacher and he said that the chances of having nine boys in a row is 1 out of 512." "Right, and the doctor said 1 out of 100 last time, too. I tell you what, write to Ann Landers or Dear Abby and see what advice the experts can give, then...." DEAR ABBY; My husband and I just had our eighth child. Another girl, and I am really one disappointed woman. I suppose I should thank God she was healthy, but, Abby, this one was supposed to be a boy. Even the doctor told me the law of averages was in our favor 100 to 1. What is the probability of our next child being a boy? What is the probability that the next child for Melissa and Ben is a boy? 3. We know that descriptive statistics describe a population or sample's characteristics, and inferential statistics is used to infer something about a population based on a sample's characteristics. Explain in your own words how this Inferential Statistics works by outlining the steps a researcher would follow to conduct a study. 4. The 'Math Department Lunch' is in March, but I forgot which day, so I asked around. Denise said that the date was an odd number; Kristell claimed it was greater than 13. Wanda declared it was not a perfect square, while Linda swore it was a perfect cube. Finally, Anthony told me the date was less than one-fourth his age, which I know to be 68. Yesterday I learned that only one of them had told the truth! What is the date of the lunch