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Below are final exam scores of 20 Introductory Statistics
Chapter , Problem 3.17(choose chapter or problem)
Below are final exam scores of 20 Introductory Statistics students. 1 57, 2 66, 3 69, 4 71, 5 72, 6 73, 7 74, 8 77, 9 78, 10 78, 11 79, 12 79, 13 81, 14 81, 15 82, 16 83, 17 83, 18 88, 19 89, 20 94 (a) The mean score is 77.7 points. with a standard deviation of 8.44 points. Use this information to determine if the scores approximately follow the 68-95-99.7% Rule. (b) Do these data appear to follow a normal distribution? Explain your reasoning using the graphs provided below.
Questions & Answers
QUESTION:
Below are final exam scores of 20 Introductory Statistics students. 1 57, 2 66, 3 69, 4 71, 5 72, 6 73, 7 74, 8 77, 9 78, 10 78, 11 79, 12 79, 13 81, 14 81, 15 82, 16 83, 17 83, 18 88, 19 89, 20 94 (a) The mean score is 77.7 points. with a standard deviation of 8.44 points. Use this information to determine if the scores approximately follow the 68-95-99.7% Rule. (b) Do these data appear to follow a normal distribution? Explain your reasoning using the graphs provided below.
ANSWER:Q: Below are final exam scores of 20 Introductory Statistics students.(a) The mean score is 77.7 points. with a standard deviation of 8.44 points. Use this informationto determine if the scores approximately follow the 68-95-99.7% Rule. (b) Do these data appearto follow a normal distribution Explain your reasoning using the graphs provided below. Step by Step SolutionStep 1 of 2: (a) 68-95-99% Compute the limit of first standard deviation: 14 out of 20 scores or 70% of scores falls in this limit Compute the limit of second standard deviation: 19 out of 20 or 95% scores falls under this category Compute the limit of third standard deviation: 20 out of 20 or 100% of scores fall under this limit.Hence the 68-95-99% rule is followed.