24) Was the St. Louis Cardinals offense more consistent at home? During the 2009 regular season at home, they had a mean of 4.21 runs scored with a standard deviation of 2.80 runs scored in 81 games; while on the road, they had a mean of 4.80 runs scored with a standard deviation of 3.38 runs scored in 81 games. a) Is 3.38 the Cardinals' observed standard deviation on the road or their true standard deviation on the road? Explain. b) State the hypotheses you would use to test if the Cardinals' offense was more consistent at home. c) Calculate the difference in standard deviations (road - home) and use this as the test statistic. e) Here are the results of 100 trials of the simulation. Describe what information is provided by the dotplot. . . .' . . -1.0 -0.8 -0.6 -0.4 -0.2 0.0 0.2 0.4 0.6 0.8 1.0 Simulated Difference in Standard Deviations (Home - Road) f) Based on the results of the simulation, estimate and interpret the p-value. g) Based on the p-value, make an appropriate conclusion. h) If your conclusion is in error, which type of error did you make? Explain.30) Dale is trying out for his school's bowling team and knows that the coach values consistency just as much as a high average score. Design an experiment to determine whether using a lighter bowling ball will make Dale a more consistent bowler. a) What are the explanatory and response variables in your experiment. b) How will you incorporate randomization into your experiment? c) What variables are important to control during this experiment? List at least 5. d) Can Dale be blind in the experiment? Explain. Also explain why this matters. el State the hypotheses you are interested in testing. Also, state the test statistic you will use