4) The town of Pawnee recorded how many drivers ran through a red light for five consecutive days (N=5). These are the numbers of drivers who ran the light on each of those five days: 3, 6, 4, 8, 5. A) What is the mean (U) and standard deviation (0) for the population? B) Find the z-score for each score in the population C) Transform the original population into a new population of N=5 with a mean of H = 100 and a standard deviation of O = 20. In other words, what are the raw scores with the given mean (M = 100) and standard deviation (0 = 20) based on the calculated z-scores? (Hint: Convert the scores into the new scale using the z-scores from B) 5) Researchers wanted to see the average speed with which rats run a newer type of maze. They know that rats speeds have a O = 5 seconds. They sample N = 12 rats and get a mean of M = 28 seconds. Calculate the 95% confidence interval for this sample. What does this mean in plain English? 6) Psychologists wanted to determine the average hours of sleep that children were getting who lived in a low-income housing project. They took a random sample of N = 6 children who lived in one of the poorest apartment communities in the city. Here are the average hours recorded over a week for each child: 12