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3.17 Scores on stats final: Below are final exam scores of 20 Introductory Statistics students. The mean score s 77.7 points and the standard deviation is 8.44 points. Do the exam scores approximately follow the 68-95- 29.7% Rule? 57 66 69 71 72 73 74 77 78 78 79 79 81 ) Determine the bins for each percentage of the 68-95-99.7 Rule. 8% range of values: MEAN 15D= 69.26 5% range of values: MEAN 2SD 60.8 9.7% Range of values: MEAN 3SD= 52.38 86.14 94.58 103.02 81 82 83 83 88 89 94

3.17 Scores on stats final: Below are final exam scores of 20 Introductory Statistics students. The mean score s 77.7 points and the standard deviation is 8.44 points. Do the exam scores approximately follow the 68-95- 29.7% Rule? 57 66 69 71 72 73 74 77 78 78 79 79 81 ) Determine the bins for each percentage of the 68-95-99.7 Rule. 8% range of values: MEAN 15D= 69.26 5% range of values: MEAN 2SD 60.8 9.7% Range of values: MEAN 3SD= 52.38 86.14 94.58 103.02 81 82 83 83 88 89 94

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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3.17 Scores on stats final: Below are final exam scores of 20 Introductory Statistics students. The mean score is 77.7 points and the standard deviation is 8.44 points. Do the exam scores approximately follow the 68-95- 99.7% Rule? 57 66 69 71 72 73 74 77 78 78 79 79 81 81 82 83 83 88 89 a) Determine the bins for each percentage of the 68-95-99.7 Rule. 68% range of values: MEAN 15D=69.26 95% range of values: MEAN + 2SD 60.82 99.7% Range of values: MEAN 3SD = 52.38 3 17 86.14 b) Find the frequency and relative frequency for each of the bins above using the final exam scores. Write the relative frequency in percent. Frequency of Each Bin Relative Frequency (%) 0 94.58 103.02 X 70% X 95% X 100% c) Do the exam scores approximately follow the 68-95-99.7% Rule? Hint: Compare the Relative Frequencies with the 68-95-99.7% Rule. No, we need more information to decide if this distribution is a Normal Distribution. O Yes, the Relative frequency of each bin follows approximately the 68-95-99.7 Rule, and therefore the data follows a Normal Distribution. 94
Transcribed Image Text:3.17 Scores on stats final: Below are final exam scores of 20 Introductory Statistics students. The mean score is 77.7 points and the standard deviation is 8.44 points. Do the exam scores approximately follow the 68-95- 99.7% Rule? 57 66 69 71 72 73 74 77 78 78 79 79 81 81 82 83 83 88 89 a) Determine the bins for each percentage of the 68-95-99.7 Rule. 68% range of values: MEAN 15D=69.26 95% range of values: MEAN + 2SD 60.82 99.7% Range of values: MEAN 3SD = 52.38 3 17 86.14 b) Find the frequency and relative frequency for each of the bins above using the final exam scores. Write the relative frequency in percent. Frequency of Each Bin Relative Frequency (%) 0 94.58 103.02 X 70% X 95% X 100% c) Do the exam scores approximately follow the 68-95-99.7% Rule? Hint: Compare the Relative Frequencies with the 68-95-99.7% Rule. No, we need more information to decide if this distribution is a Normal Distribution. O Yes, the Relative frequency of each bin follows approximately the 68-95-99.7 Rule, and therefore the data follows a Normal Distribution. 94
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