Z-Score and Normal Distribution Lab. Name Problem 1 The GoodYear Silents were a semi-professional all deaf football team which played from 1915 to 1927. Much of the team's history has been lost due to time but it is said that they won 68 games, lost 35 games, and tied 11 games. All of the scores for the 1923 season are known and it is thought to be a good sample of their over-all performance. Silents Opponent 7 7 0 3 6 0 9 0 15 0 6 13 14 0 0 9 10 0 0 0 6 What is the mean score for the Goodyear Silents? (3 pts) Find the sample standard deviation for the Goodyear Silents' score: (3 pts) What is the mean score for their opponents? (3 pts) Find the sample standard deviation for their opponents: (3 pts) Looking at the mean score for the Goodyear Silents and their opponents would you expect them to be an above average football team or below average football team? Why? (6 pts)68% of the time you would expect the Silents' to score between what two values? (think empirical rule). (6 pts) Find the z-score for 10 points in a game for both the Goodyear Silents and their opponents. Silents: (4 pts) Opponents: (4 pts) Who is more likely to score 10 points? Explain your answer using Statistics. (5 pts) What would be more unusual and why? The Goodyear Silents scoring 20 or their opponents being shutout (scoring 0). Use z-scores to answer the question. Show all work. (5 pts)