Homework SourseA fertilizer manufacturer is testing two different fertilize
| A fertilizer manufacturer is testing two different fertilizers (FastGrow and QuickSprout) to determine which one will provide a higher yield for farmers\' wheat crops. | Fast Grow | QuickSprout | ||||||||||||
| The manufacturer decides to run a random trial for two of these two fertilizers on one acre of farm land on 70 randomly chosen farms | 58.00 | 55.00 | ||||||||||||
| with half the farms using FastGrow and half the farms using QuickSprout. | 56.00 | 58.00 | ||||||||||||
| The number of bushels of wheat produced the one acre on the 70 farms is shown in the table on to the right. | 57.00 | 58.00 | ||||||||||||
| Assume that the manufacturer only has the resources to rollout one of the two fertilizers this year and has asked you to determine your level of confidence about | 60.00 | 57.00 | ||||||||||||
| whether one fertilizer is more productive than the other. | 61.00 | 58.00 | ||||||||||||
| http://www.tutor-homework.com/statistics_tables/statistics_tables.html | 56.00 | 56.00 | ||||||||||||
| 56.00 | 58.00 | |||||||||||||
| (a) | Assuming a 95% level of confidence, can you infer that one of the one fertilizer is more productive than the other? | 61.00 | 57.00 | |||||||||||
| Please show all work in your calculation including upper and lower confidence intervals. | 60.00 | 54.00 | ||||||||||||
| 58.00 | 56.00 | |||||||||||||
| 62.00 | 61.00 | |||||||||||||
| 59.00 | 57.00 | |||||||||||||
| 56.00 | 59.00 | |||||||||||||
| 56.00 | 55.00 | |||||||||||||
| 56.00 | 57.00 | |||||||||||||
| 61.00 | 55.00 | |||||||||||||
| 58.00 | 61.00 | |||||||||||||
| Upper Interval | _________ | 56.00 | 62.00 | |||||||||||
| 60.00 | 56.00 | |||||||||||||
| Lower interval | _________ | 57.00 | 55.00 | |||||||||||
| 56.00 | 57.00 | |||||||||||||
| Conclusion: | 58.00 | 57.00 | ||||||||||||
| 60.00 | 57.00 | |||||||||||||
| 58.00 | 56.00 | |||||||||||||
| (b) | Would the answer change if you increase your level of confidence to 99%? | 58.00 | 55.00 | |||||||||||
| (including your confidence intervals) in your calculation. | 60.00 | 56.00 | ||||||||||||
| 58.00 | 61.00 | |||||||||||||
| 58.00 | 55.00 | |||||||||||||
| 62.00 | 60.00 | |||||||||||||
| 57.00 | 61.00 | |||||||||||||
| 59.00 | 59.00 | |||||||||||||
| 60.00 | 55.00 | |||||||||||||
| 59.00 | 61.00 | |||||||||||||
| Upper Interval | _________ | 62.00 | 55.00 | |||||||||||
| 58.00 | 55.00 | |||||||||||||
| Lower Interval | _________ | |||||||||||||
| Conclusion: | ||||||||||||||
| A fertilizer manufacturer is testing two different fertilizers (FastGrow and QuickSprout) to determine which one will provide a higher yield for farmers\' wheat crops. | Fast Grow | QuickSprout | ||||||||||||
| The manufacturer decides to run a random trial for two of these two fertilizers on one acre of farm land on 70 randomly chosen farms | 58.00 | 55.00 | ||||||||||||
| with half the farms using FastGrow and half the farms using QuickSprout. | 56.00 | 58.00 | ||||||||||||
| The number of bushels of wheat produced the one acre on the 70 farms is shown in the table on to the right. | 57.00 | 58.00 | ||||||||||||
| Assume that the manufacturer only has the resources to rollout one of the two fertilizers this year and has asked you to determine your level of confidence about | 60.00 | 57.00 | ||||||||||||
| whether one fertilizer is more productive than the other. | 61.00 | 58.00 | ||||||||||||
| http://www.tutor-homework.com/statistics_tables/statistics_tables.html | 56.00 | 56.00 | ||||||||||||
| 56.00 | 58.00 | |||||||||||||
| (a) | Assuming a 95% level of confidence, can you infer that one of the one fertilizer is more productive than the other? | 61.00 | 57.00 | |||||||||||
| Please show all work in your calculation including upper and lower confidence intervals. | 60.00 | 54.00 | ||||||||||||
| 58.00 | 56.00 | |||||||||||||
| 62.00 | 61.00 | |||||||||||||
| 59.00 | 57.00 | |||||||||||||
| 56.00 | 59.00 | |||||||||||||
| 56.00 | 55.00 | |||||||||||||
| 56.00 | 57.00 | |||||||||||||
| 61.00 | 55.00 | |||||||||||||
| 58.00 | 61.00 | |||||||||||||
| Upper Interval | _________ | 56.00 | 62.00 | |||||||||||
| 60.00 | 56.00 | |||||||||||||
| Lower interval | _________ | 57.00 | 55.00 | |||||||||||
| 56.00 | 57.00 | |||||||||||||
| Conclusion: | 58.00 | 57.00 | ||||||||||||
| 60.00 | 57.00 | |||||||||||||
| 58.00 | 56.00 | |||||||||||||
| (b) | Would the answer change if you increase your level of confidence to 99%? | 58.00 | 55.00 | |||||||||||
| (including your confidence intervals) in your calculation. | 60.00 | 56.00 | ||||||||||||
| 58.00 | 61.00 | |||||||||||||
| 58.00 | 55.00 | |||||||||||||
| 62.00 | 60.00 | |||||||||||||
| 57.00 | 61.00 | |||||||||||||
| 59.00 | 59.00 | |||||||||||||
| 60.00 | 55.00 | |||||||||||||
| 59.00 | 61.00 | |||||||||||||
| Upper Interval | _________ | 62.00 | 55.00 | |||||||||||
| 58.00 | 55.00 | |||||||||||||
| Lower Interval | _________ | |||||||||||||
| Conclusion: | ||||||||||||||
Solution
