2. Joe's little sister Jen has an ant farm. The population appears to be doubling every week. Joe determined the equation of the growth of the ant farm population to be P=25(2)", P is the population and n is the number of weeks since she got the farm. Jen's ant farm is only big enough to hold 51 200 ants. Joe wants to know how long it will take for her ant population to exceed the farms maximum so that he can buy her a new farm. 3. Joe wants to prove that his girlfriend, Moe, is the best soccer player in the league. Mary Lou is her only competition. The following stats show the number of goals scored per game for the two girls. Moe: 2 3 0 1 2 4 2 Mary Lou: 3 004 32 Determine who the better player is by finding the 1-variable statistics (measures of central tendency). Explain your reasoning. 4. Joe's mom needs new front steps on her house. He thinks she should get fancy circular steps, she wants normal rectangular steps, his dad said to get whichever one requires less concrete poured into it. Here are the designs. Which steps should they buy? Justify your answer mathematically. 100cm 120cm 120cm 19cm 26cm 15cm 30cm 40cm 1. It is Joe's final year at Periwinkle Heights and he is running for student council leader. His friends are planning to give out a survey to help with his campaign. Their teacher advisor said that the following two questions contained major biases. Explain why they are biased questions and rewrite the question to eliminate bias. QUESTON 1: What is the one most important thing would you like to see Joe do this year if he becomes leader of the school council? a) Find a sponsor to allow us to purchase new basketball uniforms b) Bring back intramurals at lunch time c) Raise money for a new scoreboard for the gymnasium QUESTON 2: Overall who are you most likely to vote for? (a) The amazing Joe (b) Smelly Melly (c) Overly excitable Olivia (d) Boring Bob