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To compare the effect of stress caused by noise on the ability to perform a simple task, 84 subjects were divided into two groups-37 subjects as a control group, and 47 subjects as the experimental group. Although each subject performed the task, the experimental group had to perform the task while loud rock music was played. The time to finish the task was recorded for each subject and the following summary was obtained. Control Experimental 37 47 17 minutes 26 minutes 5 minutes 11 minutes (a) Find a 99% confidence interval for the difference in mean completion times (in minutes) for these two groups. (Calculate the difference as the control group - the experimental group. Round your answers to two decimal places.) min to min (b) Based on the confidence interval in part (a), is there sufficient evidence to indicate a difference in the average time to completion for the two groups? Explain. The confidence interval in part (a) has -Select-- v. Hence, it is --Select-- v that the means are equal. Based on the data we would conclude that -Select-- v a real difference in the mean times to completion for the two groups.

To compare the effect of stress caused by noise on the ability to perform a simple task, 84 subjects were divided into two groups-37 subjects as a control group, and 47 subjects as the experimental group. Although each subject performed the task, the experimental group had to perform the task while loud rock music was played. The time to finish the task was recorded for each subject and the following summary was obtained. Control Experimental 37 47 17 minutes 26 minutes 5 minutes 11 minutes (a) Find a 99% confidence interval for the difference in mean completion times (in minutes) for these two groups. (Calculate the difference as the control group - the experimental group. Round your answers to two decimal places.) min to min (b) Based on the confidence interval in part (a), is there sufficient evidence to indicate a difference in the average time to completion for the two groups? Explain. The confidence interval in part (a) has -Select-- v. Hence, it is --Select-- v that the means are equal. Based on the data we would conclude that -Select-- v a real difference in the mean times to completion for the two groups.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The confidence interval in part (a) has 
---Select--- one positive and one negative endpoint, two negative endpoints, or two positive endpoints. Hence, it is 
---Select--- not likely or plausible that the means are equal. Based on the data we would conclude that ---Select--- there is no evidence of or there is
 a real difference in the mean times to completion for the two groups.

To compare the effect of stress caused by noise on the ability to perform a simple task, 84 subjects were divided into two groups—37 subjects as a control group, and 47 subjects as the experimental group. Although each subject performed the task, the experimental group had to perform the task while loud rock music was played. The time to finish the task was recorded for each subject and the following summary was obtained. | | Control | Experimental | |------------|----------------|----------------| | n | 37 | 47 | | x̄ | 17 minutes | 26 minutes | | s | 5 minutes | 11 minutes | (a) Find a 99% confidence interval for the difference in mean completion times (in minutes) for these two groups. (Calculate the difference as the control group minus the experimental group. Round your answers to two decimal places.) \[ \_\_\_\_ \, \text{min to} \, \_\_\_\_ \, \text{min} \] (b) Based on the confidence interval in part (a), is there sufficient evidence to indicate a difference in the average time to completion for the two groups? Explain. The confidence interval in part (a) has \[ \_\_\_\_ \]. Hence, it is \[ \_\_\_\_ \] that the means are equal. Based on the data, we would conclude that \[ \_\_\_\_ \] a real difference in the mean times to completion for the two groups.
Transcribed Image Text:To compare the effect of stress caused by noise on the ability to perform a simple task, 84 subjects were divided into two groups—37 subjects as a control group, and 47 subjects as the experimental group. Although each subject performed the task, the experimental group had to perform the task while loud rock music was played. The time to finish the task was recorded for each subject and the following summary was obtained. | | Control | Experimental | |------------|----------------|----------------| | n | 37 | 47 | | x̄ | 17 minutes | 26 minutes | | s | 5 minutes | 11 minutes | (a) Find a 99% confidence interval for the difference in mean completion times (in minutes) for these two groups. (Calculate the difference as the control group minus the experimental group. Round your answers to two decimal places.) \[ \_\_\_\_ \, \text{min to} \, \_\_\_\_ \, \text{min} \] (b) Based on the confidence interval in part (a), is there sufficient evidence to indicate a difference in the average time to completion for the two groups? Explain. The confidence interval in part (a) has \[ \_\_\_\_ \]. Hence, it is \[ \_\_\_\_ \] that the means are equal. Based on the data, we would conclude that \[ \_\_\_\_ \] a real difference in the mean times to completion for the two groups.
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