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 thatthe painting tool reduces the amount of time it takes to paint a room, he has decided to invest in atool for each of his helpers as well. From records of recent painting jobs that he completedbefore 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 hourswith a standard deviation of 0.5 hours. For a random sample of 4 medium-sized rooms that hepainted using the new tool, he found that it took him a mean of 3.9 hours to paint each room witha standard deviation of 0.7 hours. At the 0.10 level, can Gary conclude that his mean time forpainting a medium-sized room without using the tool was greater than his mean time when usingthe tool? Assume that the population variances are equal. (Pooled yes)

Hypothesis test has two types of approach to make conclusions. They are p value approach and…

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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)

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