A major league baseball player went up to bat 532 times during a certain season. He had the following number of hits: 83 singles, 15 doubles, 2 triples and 18 home runs.He also had 82 strikeouts and 89 walks. (Some basic baseball definitions are below)
_ Question 1 A major league baseball player went up to bat 532 times during a certain season. He had the lollowing number of hits: 83 singles, 15 doubles, 2 triples and 18 home runs. He also had 82 strikeouts and 89 walks. (Some basic baseball definitions are below) 3 points What is the probability at him hitting a single when he comes to bat? How Did I Do? (Hound to three decimal places) What is the probability he strikes out or walks when he comes to bat? (Hound to three decimal places) If he gets a hit, what is the probability it is a home run? (Hound to three decimal places) (A single means the batter advanced to 1st base alter hitting the ball. Similarly, a double means the batter advanced to 2nd base and atriple means the batter advanced to 3rd base. A home run means that after hitting the ball, the batter advanced past all three bases and returned to home base to score. A strikeout means the batter does not hit the ball in an approved way and does not advance to any base, a walk means the batter advances to 1st base because the majority of pitches were not in an approved range for him to hit) - Question 2 At a high school basketball game the Lions and the Eagles are playing. The Lions attempted 19 free throws and made 11, attempted 58 two-point shots and made 23, and attempted 13 three-point shots and made 8. 3 points The Eagles attempted 27 free throws and made 9, attempted 40 two-point shots and made 14, and attempted 13 three-point shots and made 4. (Free throws are worth 1 point each, two-point shots wonh 2 points each, and three-point shots worth 3 points each) How Did I Do? What is the free throw percentage for the Lions? V/a (Round the final percentage to one decimal place) What is the free throw percentage for the Eagles? /o (Round the final percentage 10 one decimal place) What is the field goal percentage (two-point and three~point shots combined) for the Lions? % (Flound the final percentage to one decimal place) What is the field goal percentage (two-point and three-point shots combined) for the Eagles? /o (Round the final percentage to one decimal place) HOW many points did the Lions score? How many points did the Eagles score? Which team won the basketball game? 0 Lions 0 Eagles - Question 3 Oswald is registering for classes next semester. He uses the Quantitative Reasoning Process to decide between two teachers, Dr. Adams, and Dr. Baldwin . He speaks to 17 friends that previously took the course from Dr. Adams and also speaks to 17 friends that took it from Dr. Baldwin. Eight of his friends said they highly recommend Dr. Adams. Eleven of his friends highly recommend Dr. Baldwin. 2 points How Did I Do? Based on Oswald's minimal study, what percent of students "highly recommend" Dr. Adams? Number % (Round the final percentage to one decimal place) What percent "highly recommend" Dr.Baldwin? Number (Round the final percentage to one decimal place) To be statistically accurate in his decision, Oswald decides to create a 95% confidence interval for his two percentages. What values does he find for each confidence interval? Confidence interval for the true proportion that "highly recommend" Dr Adams: (Enter the low value in the first blank and the high value in the second blank. Round values to one decimal place) Number %, to Number % Confidence interval for the true proportion that "highly recommend" Dr. Baldwin: (Enter the low value in the first blank and the high value in the second blank. Round values to one decimal place) Number %, to Number % Do Oswald's confidence intervals show evidence that a greater percentage of students favor one teacher over the other? O Yes, the confidence intervals overlap, so clearly one teacher is preferred by students over the other teacher. O Yes, the confidence intervals do not overlap, so clearly one teacher is preferred by students over the other teacher. O No, the confidence intervals overlap, so the percentages of students that approve of each teacher are really the same as far as we can tell. O No, the confidence intervals do not overlap, so the percentages of students that approve of each teacher are really the same as far as we can tell.- Question 4 The table below shows which hand is favored by each person from a sample of 100 people (50 male and 50 female). Use the information in the table to answer the following questions. 1 point Left-Handed Right-Handed Male How Did I Do? 8 42 Female 5 45 Determine the probability that a randomly selected person from the sample will be female or left-handed. Number % (Round to the nearest whole percentage) Compute a 95% confidence interval for the true proportion of the population that is left-handed. Number % to Number % Compute a 95% confidence interval for the true proportion of the population that is right-handed. Number % to Number %Question 5 If Russell takes a 25 question multiple choice test and receives a score of 48%, how many questions did he answer correctly? Number 1 point If his teacher used a 95% confidence interval to correctly estimate the true percentage of correct answers that he should have scored on this exam, what How Did I Do? possible grades could the teacher reasonably assign to Russell? Anything from Number % to Number However, because Russell's teacher must pick only one number to represent his grade, what percentage will the teacher typically assign as the grade? Number %
