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A Statistics professor has observed that for several years students score an average of 112 points out of 150 on the semester exam. A salesman suggests that he try a statistics software package that gets students more involved with computers, predicting that it will increase students' scores. The software is expensive, and the salesman offers to let the professor use it for a semester to see if the scores on the final exam increase significantly. The professor will have to pay for the software only if he chooses to continue using it. In the trial course that used this software, 249 students scored an average of 114 points on the final with a standard deviation of 8.4 points. Complete parts a) and b) below. O A. Fail to reject Ho. The change is not statistically significant. The software does not appear to improve exam scores. O B. Fail to reject Ho. The change is statistically significant. The software does appear to improve exam scores. OC. Reject Ho. The change is not statistically significant. The software does not appear to improve exam scores. D. Reject Ho. The change is statistically significant. The software does appear to improve exam scores. b) Does this improvement seem to be practically significant? Choose the correct answer below and fill in any answer boxes within your choice (Round to one decimal place as needed.) O A. Yes. A 95% confidence interval for the mean score using the software is ( I D. Students' scores improved by at least 5 points on the exam. These improvements may be worth the cost of the software. O B. No A95% confidence interval for the mean score using the software is ( ) Students' scores improved by no more than 5 points on the exam. This might not be enough to justify the cost. O C. No A 95% confidence interval for the mean score using the software is ( ) The change is not statistically significant Students' scores may not ifprove at all in the long run. The software is not worth the cost

A Statistics professor has observed that for several years students score an average of 112 points out of 150 on the semester exam. A salesman suggests that he try a statistics software package that gets students more involved with computers, predicting that it will increase students' scores. The software is expensive, and the salesman offers to let the professor use it for a semester to see if the scores on the final exam increase significantly. The professor will have to pay for the software only if he chooses to continue using it. In the trial course that used this software, 249 students scored an average of 114 points on the final with a standard deviation of 8.4 points. Complete parts a) and b) below. O A. Fail to reject Ho. The change is not statistically significant. The software does not appear to improve exam scores. O B. Fail to reject Ho. The change is statistically significant. The software does appear to improve exam scores. OC. Reject Ho. The change is not statistically significant. The software does not appear to improve exam scores. D. Reject Ho. The change is statistically significant. The software does appear to improve exam scores. b) Does this improvement seem to be practically significant? Choose the correct answer below and fill in any answer boxes within your choice (Round to one decimal place as needed.) O A. Yes. A 95% confidence interval for the mean score using the software is ( I D. Students' scores improved by at least 5 points on the exam. These improvements may be worth the cost of the software. O B. No A95% confidence interval for the mean score using the software is ( ) Students' scores improved by no more than 5 points on the exam. This might not be enough to justify the cost. O C. No A 95% confidence interval for the mean score using the software is ( ) The change is not statistically significant Students' scores may not ifprove at all in the long run. The software is not worth the cost

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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A Statistics professor has observed that for several years students score an average of 112 points out of 150 on the semester exam. A salesman suggests that he try a statistics software package that gets students more involved with computers, predicting that it will increase students' scores. The software is expensive, and the salesman offers to let the professor use it for a semester to see if the scores on the final exam increase significantly. The professor will have to pay for the software only if he chooses to continue using it. In the trial course that used this software, 249 students scored an average of 114 points on the final with a standard deviation of 8.4 points. Complete parts a) and b) below. A. Fail to reject Ho. The change is not statistically significant. The software does not appear to improve exam scores. B. Fail to reject Ho. The change is statistically significant. The software does appear to improve exam scores. C. Reject Ho. The change is not statistically significant. The software does not appear to improve exam scores. D. Reject Ho. The change is statistically significant. The software does appear to improve exam scores. b) Does this improvement seem to be practically significant? Choose the correct answer below and fill in any answer boxes within your choice (Round to one decimal place as needed.) A. Yes. A 95% confidence interval for the mean score using the software is ( . D. Students' scores improved by at least 5 points on the exam. These improvements may be worth the cost of the software. O B. No A 95% confidence interval for the mean score using the software is ( D Students' scores improved by no more than 5 points on the exam. This might not be enough to justify the cost. O C. No A 95% confidence interval for the mean score using the software is ( ID The change is not statistically significant Students' scores may not ifnprove at all in the long run. The software is not worth the cost
Transcribed Image Text:A Statistics professor has observed that for several years students score an average of 112 points out of 150 on the semester exam. A salesman suggests that he try a statistics software package that gets students more involved with computers, predicting that it will increase students' scores. The software is expensive, and the salesman offers to let the professor use it for a semester to see if the scores on the final exam increase significantly. The professor will have to pay for the software only if he chooses to continue using it. In the trial course that used this software, 249 students scored an average of 114 points on the final with a standard deviation of 8.4 points. Complete parts a) and b) below. A. Fail to reject Ho. The change is not statistically significant. The software does not appear to improve exam scores. B. Fail to reject Ho. The change is statistically significant. The software does appear to improve exam scores. C. Reject Ho. The change is not statistically significant. The software does not appear to improve exam scores. D. Reject Ho. The change is statistically significant. The software does appear to improve exam scores. b) Does this improvement seem to be practically significant? Choose the correct answer below and fill in any answer boxes within your choice (Round to one decimal place as needed.) A. Yes. A 95% confidence interval for the mean score using the software is ( . D. Students' scores improved by at least 5 points on the exam. These improvements may be worth the cost of the software. O B. No A 95% confidence interval for the mean score using the software is ( D Students' scores improved by no more than 5 points on the exam. This might not be enough to justify the cost. O C. No A 95% confidence interval for the mean score using the software is ( ID The change is not statistically significant Students' scores may not ifnprove at all in the long run. The software is not worth the cost
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