To test the durability of a new paint for white center lines, a highway department painted teststrips across heavily traveled roads in eight different locations, and electronic counters showedthat they deteriorated after having been crossed by (data in units x 1000):143168137108126134162150The population data for paint duration are normally distributed.a)Why can we assume that the sampling distribution of the mean is normal even thoughthe sample size is only 8?b)Construct a 95% confidence interval for the average amount of traffic (vehicles) the newwhite paint can withstand before it deteriorates. You may use your calculator tocalculate the mean and standard deviation or use the formulas given X =1128 and EX² = 161 682.

Answered: Image /qna-images/answer/ca776c84-4209-41fa-ae1d-7a004b30c12c.jpg

Answered: To test the durability of a new paint…

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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A school administrator wants to see if there is a difference in the number of students per class for the Portland Public School district (Group 1) compared to the Beaverton School district (Group 2). Let be the average number of students per class for the Portland Public School district. Let ₂ be the average number of students per class for the Beaverton School district. Assume the populations are normally distributed. A random sample of 25 Portland classes found a mean of 38 students per class with a standard deviation of 3. A random sample of 28 Beaverton classes found a mean of 35 students per class with a standard deviation of 4. a. Find a 95% confidence interval for the difference of the means. Use Excel Two Means Calculator found in the Course and round answers to 2 decimal places. <1-1₂< b. Select the correct conclusion based on the above confidence interval. Since the above confidence interval gives only negative values, we have 95% confident that the average number of students…
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