What is the critical value? What is the p value?
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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What is the critical value?
What is the p value?
![Gary has discovered a new painting tool to help him in his work. If he can prove to himself that
the painting tool reduces the amount of time it takes to paint a room, he has decided to invest in a
tool for each of his helpers as well. From records of recent painting jobs that he completed
before he got the new tool, Gary collected data for a random sample of 6 medium-sized rooms.
He determined that the mean amount of time that it took him to paint each room was 4.2 hours
with a standard deviation of 0.5 hours. For a random sample of 4 medium-sized rooms that he
painted using the new tool, he found that it took him a mean of 3.9 hours to paint each room with
a standard deviation of 0.7 hours. At the 0.10 level, can Gary conclude that his mean time for
painting a medium-sized room without using the tool was greater than his mean time when using
the tool? Assume that the population variances are equal. (Pooled yes)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F823508d2-c94c-4968-b9d0-28da42c57a12%2F66e66beb-d34e-43a1-b291-cb8dd51c58f0%2Fdfqw88_processed.png&w=3840&q=75)
Transcribed Image Text:Gary has discovered a new painting tool to help him in his work. If he can prove to himself that
the painting tool reduces the amount of time it takes to paint a room, he has decided to invest in a
tool for each of his helpers as well. From records of recent painting jobs that he completed
before he got the new tool, Gary collected data for a random sample of 6 medium-sized rooms.
He determined that the mean amount of time that it took him to paint each room was 4.2 hours
with a standard deviation of 0.5 hours. For a random sample of 4 medium-sized rooms that he
painted using the new tool, he found that it took him a mean of 3.9 hours to paint each room with
a standard deviation of 0.7 hours. At the 0.10 level, can Gary conclude that his mean time for
painting a medium-sized room without using the tool was greater than his mean time when using
the tool? Assume that the population variances are equal. (Pooled yes)
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