To test the durability of a new paint for white center lines, a highway department painted test strips across heavily traveled roads in eight different locations, and electronic counters showed that they deteriorated after having been crossed by (data in units x 1000): 143 168 137 108 126 134 162 150 The population data for paint duration are normally distributed. a) Why can we assume that the sampling distribution of the mean is normal even though the sample size is only 8? b) Construct a 95% confidence interval for the average amount of traffic (vehicles) the new white paint can withstand before it deteriorates. You may use your calculator to calculate the mean and standard deviation or use the formulas given EX = 1128 and EX² = 161 682.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
To test the durability of a new paint for white center lines, a highway department painted test
strips across heavily traveled roads in eight different locations, and electronic counters showed
that they deteriorated after having been crossed by (data in units x 1000):
143
168
137
108
126
134
162
150
The population data for paint duration are normally distributed.
a)
Why can we assume that the sampling distribution of the mean is normal even though
the sample size is only 8?
b)
Construct a 95% confidence interval for the average amount of traffic (vehicles) the new
white paint can withstand before it deteriorates. You may use your calculator to
calculate the mean and standard deviation or use the formulas given X =
1128 and EX² = 161 682.
Transcribed Image Text:To test the durability of a new paint for white center lines, a highway department painted test strips across heavily traveled roads in eight different locations, and electronic counters showed that they deteriorated after having been crossed by (data in units x 1000): 143 168 137 108 126 134 162 150 The population data for paint duration are normally distributed. a) Why can we assume that the sampling distribution of the mean is normal even though the sample size is only 8? b) Construct a 95% confidence interval for the average amount of traffic (vehicles) the new white paint can withstand before it deteriorates. You may use your calculator to calculate the mean and standard deviation or use the formulas given X = 1128 and EX² = 161 682.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman