To compare the effect of stress caused by noise on the ability to perform a simple task, 74 subjects were divided into two groups-32 subjects as a control group, and 42 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 Control 32 17 minutes 5 minutes Experimental 42 25 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--- groups. . Hence, it is ---Select-- that the means are equal. Based on the data we would conclude that ---Select--- a real difference in the mean times to completion for the two

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
icon
Related questions
Question

I need help with all parts of this question 9
The options for part B selection (a) two positive endpoints/one positive and one negative endpoint/two negative endpoints
(b) plauisble/not likely
(c)there is no evidence, there is

To compare the effect of stress caused by noise on the ability to perform a simple task, 74 subjects were divided into two groups-32 subjects as a control group, and 42 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
Control
32
17 minutes
5 minutes
Experimental
42
25 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---
groups.
Hence, it is ---Select--- that the means are equal. Based on the data we would conclude that ---Select---
a real difference in the mean times to completion for the two
Transcribed Image Text:To compare the effect of stress caused by noise on the ability to perform a simple task, 74 subjects were divided into two groups-32 subjects as a control group, and 42 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 Control 32 17 minutes 5 minutes Experimental 42 25 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--- groups. Hence, it is ---Select--- that the means are equal. Based on the data we would conclude that ---Select--- a real difference in the mean times to completion for the two
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL