Hi, I need help with these questions. Thank you.

Answer the questions completely. Show all of your work or support your answers by: Condence Intervals F or each problem: ' Show a_ll of your work in nding the condence interval or sample size, including the formula you used 01' the calculator steps you used to reach the solution. ' Interpret your condence interval in a complete sentence. 1. Any basketball fan knows that Shaquille O'Neal, one of the NBA's most dominant centers of the last twenty years, always had difculty shooting free throws. Over the course of his career, his overall made freethrow percentage was 53.3%. During one o'season, Shaq had been working with an assistant coach on his free-throw technique. During the next season, a simple random sample showed that Shaq made 26 of 39 free-throw attempts. Test the claim at the 0.05 SL that Shaq has signicantly improved his free-throw shooting. 2. The EPA reports that the exhaust emissions for a certain car model has had a normal distribution with a mean of 1.5 grams of nitrous oxide per mile and a standard deviation of 0.4. A simple random sample of 28 cars is taken and the mean level of exhaust emitted for this sample is 1.2 grams. Test the car manufacturer claim at the 0.01 SL that their new process reduces the mean level of exhaust for this car model. 3. The amount of water consumed each week by Montana residences is normally distributed. A simple random sample of 10 residences was taken with a sample mean of 120.3 gallons and a standard deviation of 10.0 gallons. Test the claim at the 0.10 SL that the average amount of water consumed is not 125 gallons