Suppose a quality control manager claims the variance* in production time for one of the product lines is set at 4 minutes. A recent sample of 36 production times reveals the standard deviation of production time to be 3.1 minutes. Test whether or not the quality control goal was achieved using 10% as the level of significance. *Strongly suggest you generate a similar exercise on this one so you can practice when the claim is a standard deviation and when it is a variance. Calculate the appropriate test statistic (round to 2 decimal places as needed) Determine the p-value (round to 3 decimal places as needed) Which of the following is your conclusion based on the information above: O Do not reject the null hypothesis. There is insufficient evidence to support the manager's claim of a variance equal to 4 minutes. This proves the goal has not been achieved. O Reject the null hypothesis. There is sufficient evidence to reject the manager's claim of a variance equal to 4 minutes. This proves the goal has been achieved. O Reject the null hypothesis. There is sufficient evidence to reject the manager's claim of a variance equal to 4 minutes. The quality control goal was not achieved. There is a 10% this decision is incorrect. O Do not reject the null hypothesis. There is insufficient evidence to reject the manager's claim of a variance equal to 4 minutes. The sample evidence does not differ enough from the manager's claim, so continue to assume the goal has been achieved.
Suppose a quality control manager claims the variance* in production time for one of the product lines is set at 4 minutes. A recent sample of 36 production times reveals the standard deviation of production time to be 3.1 minutes. Test whether or not the quality control goal was achieved using 10% as the level of significance. *Strongly suggest you generate a similar exercise on this one so you can practice when the claim is a standard deviation and when it is a variance. Calculate the appropriate test statistic (round to 2 decimal places as needed) Determine the p-value (round to 3 decimal places as needed) Which of the following is your conclusion based on the information above: O Do not reject the null hypothesis. There is insufficient evidence to support the manager's claim of a variance equal to 4 minutes. This proves the goal has not been achieved. O Reject the null hypothesis. There is sufficient evidence to reject the manager's claim of a variance equal to 4 minutes. This proves the goal has been achieved. O Reject the null hypothesis. There is sufficient evidence to reject the manager's claim of a variance equal to 4 minutes. The quality control goal was not achieved. There is a 10% this decision is incorrect. O Do not reject the null hypothesis. There is insufficient evidence to reject the manager's claim of a variance equal to 4 minutes. The sample evidence does not differ enough from the manager's claim, so continue to assume the goal has been achieved.
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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Transcribed Image Text:Suppose a quality control manager claims the variance* in production time for one of the
product lines is set at 4 minutes. A recent sample of 36 production times reveals the standard
deviation of production time to be 3.1 minutes.
Test whether or not the quality control goal was achieved using 10% as the level of
significance.
*Strongly suggest you generate a similar exercise on this one so you can practice when the claim is
a standard deviation and when it is a variance.
Calculate the appropriate test statistic (round to 2 decimal places as needed)
Determine the p-value (round to 3 decimal places as needed)
Which of the following is your conclusion based on the information above:
O Do not reject the null hypothesis. There is insufficient evidence to support the
manager's claim of a variance equal to 4 minutes. This proves the goal has not been
achieved.
O Reject the null hypothesis. There is sufficient evidence to reject the manager's claim of a
variance equal to 4 minutes. This proves the goal has been achieved.
O Reject the null hypothesis. There is sufficient evidence to reject the manager's claim of a
variance equal to 4 minutes. The quality control goal was not achieved. There is a 10%
this decision is incorrect.
O Do not reject the null hypothesis. There is insufficient evidence to reject the manager's
claim of a variance equal to 4 minutes. The sample evidence does not differ enough
from the manager's claim, so continue to assume the goal has been achieved.
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