The breakdown voltages of the cables manufactured by a company have a mean of 1780 Nw and a standard deviation of 107 Nw. It is desired to check whether a new manufacturing process modifies said average breaking stress. To do this, a 78 cable sample is taken and its mean breakdown voltage is found to be 1800 Nw. The question is: Can it be said that the new manufacturing process has modified the mean breakdown stress to the 7 % significance level ? To do this, we follow the following steps: Choose the null hypothesis: a. H1 : μ ≠ 1780 b. H0: μ = 1780 Indicates Zα/2 for the significance level of 7%: Indicate the lower end of the acceptance interval (we refer to the N (0,1) distribution): Indicates the upper end of the acceptance interval (we refer to the N (0,1) distribution): Indicates the standardized value of the test statistic, z: Please indicate which of the following statements is true: a. Z ∉ (-zα/2 , zα/2) b. Z ∈ (- zα/2 , zα/2) And therefore, it indicates what to do: a. Rejection H0: The new process has indeed modified the mean breakdown stress b. I accept H0: The new process has not modified the mean breakdown stress
The breakdown voltages of the cables manufactured by a company have a mean of 1780 Nw and a standard deviation of 107 Nw. It is desired to check whether a new manufacturing process modifies said average breaking stress. To do this, a 78 cable sample is taken and its mean breakdown voltage is found to be 1800 Nw. The question is: Can it be said that the new manufacturing process has modified the mean breakdown stress to the 7 % significance level ? To do this, we follow the following steps: Choose the null hypothesis: a. H1 : μ ≠ 1780 b. H0: μ = 1780 Indicates Zα/2 for the significance level of 7%: Indicate the lower end of the acceptance interval (we refer to the N (0,1) distribution): Indicates the upper end of the acceptance interval (we refer to the N (0,1) distribution): Indicates the standardized value of the test statistic, z: Please indicate which of the following statements is true: a. Z ∉ (-zα/2 , zα/2) b. Z ∈ (- zα/2 , zα/2) And therefore, it indicates what to do: a. Rejection H0: The new process has indeed modified the mean breakdown stress b. I accept H0: The new process has not modified the mean breakdown stress
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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The breakdown voltages of the cables manufactured by a company have a mean of 1780 Nw and a standard deviation of 107 Nw.
It is desired to check whether a new manufacturing process modifies said average breaking stress. To do this, a 78 cable sample is taken and its mean breakdown voltage is found to be 1800 Nw.
The question is: Can it be said that the new manufacturing process has modified the mean breakdown stress to the 7 % significance level ?
To do this, we follow the following steps:
Choose the null hypothesis:
a. H1 : μ ≠ 1780
b. H0: μ = 1780
Indicates Zα/2 for the significance level of 7%:
Indicate the lower end of the acceptance interval (we refer to the N (0,1) distribution):
Indicates the upper end of the acceptance interval (we refer to the N (0,1) distribution):
Indicates the standardized value of the test statistic, z:
Please indicate which of the following statements is true:
a. Z ∉ (-zα/2 , zα/2)
b. Z ∈ (- zα/2 , zα/2)
And therefore, it indicates what to do:
a. Rejection H0: The new process has indeed modified the mean breakdown stress
b. I accept H0: The new process has not modified the mean breakdown stress
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