In: Statistics and Probability
1. You want to create an 80% confidence interval for the average age of people who attend football games. You take a sample of 100 attendees and find the average age to be 43.7 years old with a standard deviation of 7 years. Find the value of t* for this confidence interval.
2. You want to make a 90% confidence interval for the difference in the percent of stray cats that are fixed and the percent of cats with homes that are fixed. You take samples from each group. For stray cats you get X1 = 3, n1=20. For cats with homes you get, x2=35, n2=40. You decide to use the Plus Four Method. Fill in the blanks for values below, as you would put them into your formula (or calculator) in order to use the Plus Four Method.
X1 = ___
N1=___
X2=___
n2=___
3. You want to know if people who appear to be a person of color receive higher fines on average for speeding than people who appear to be caucasian. Which tool would be best at answering this question (ex. 2-sampZTest, 2-sampTTEst, etc)?