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Step 3 of 3: Draw a conclusion and interpret the decision.

Step 3 of 3: Draw a conclusion and interpret the decision.

MATLAB: An Introduction with Applications
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 manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line. He must recalibrate his machines if the bolts are too long or too short. After sampling 121 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.21 cm. He knows that the population standard deviation is 0.83 cm. Assuming a level of significance of 0.02, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines? Step 3 of 3: Draw a conclusion and interpret the decision.
Transcribed Image Text:A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line. He must recalibrate his machines if the bolts are too long or too short. After sampling 121 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.21 cm. He knows that the population standard deviation is 0.83 cm. Assuming a level of significance of 0.02, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines? Step 3 of 3: Draw a conclusion and interpret the decision.
We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance that the mean length of the bolts is different from 4.00 cm and the machines need to be recalibrated. O We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance that the mean length of the bolts is different from 4.00 cm and the machines need to be recalibrated. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance that the mean length of the bolts is different from 4.00 cm and the machines need to be recalibrated. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance that the mean length of the bolts is different from 4.00 cm and the machines need to be O recalibrated.
Transcribed Image Text:We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance that the mean length of the bolts is different from 4.00 cm and the machines need to be recalibrated. O We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance that the mean length of the bolts is different from 4.00 cm and the machines need to be recalibrated. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance that the mean length of the bolts is different from 4.00 cm and the machines need to be recalibrated. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance that the mean length of the bolts is different from 4.00 cm and the machines need to be O recalibrated.
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