To compare the effect of stress caused by noise on the ability to perform a simple task, 82 subjects were divided into two groups-36 subjects as a control group, and 46 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. n X S Control 36 19 minutes 5 minutes Experimental 46 26 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 min min to - the experimental group. Round your answers to two decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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To compare the effect of stress caused by noise on the ability to perform a simple task, 82 subjects were divided into two groups-36 subjects as a control group, and 46 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.
n
X
S
Control
36
19 minutes
5 minutes
Experimental
46
26 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
min
min to
-
the experimental group. Round your answers to two decimal places.)
Transcribed Image Text:To compare the effect of stress caused by noise on the ability to perform a simple task, 82 subjects were divided into two groups-36 subjects as a control group, and 46 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. n X S Control 36 19 minutes 5 minutes Experimental 46 26 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 min min to - the experimental group. Round your answers to two decimal places.)
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