that the mean filling weight is 16 ounces when it actually isn't b. What is the probability of making a Type II error when the machine is overfilling by .5 ounces (to 4 decimals)? c. What is the power of the statistical test when the machine is overfilling by .5 ounces (to 4 decimals)?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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I need help with b and c.
signment
A production line operation is tested for filling weight accuracy using the following hypotheses.
Hypothesis
Conclusion and Action
Ho: μ = 16
Filling okay, keep running
Ha: #16
Filling off standard; stop and adjust machine
The sample size is 30 and the population standard deviation is = 0.6. Use a = .05. Do not round intermediate calculations.
a. What would a Type II error mean in this situation?
Concluding that the mean filling weight is 16 ounces when it actually isn't
b. What is the probability of making a Type II error when the machine is overfilling by .5 ounces (to 4 decimals)?
c. What is the power of the statistical test when the machine is overfilling by .5 ounces (to 4 decimals)?
d. Choose the power curve for this hypothesis test.
A.
1.00
.75
.50 -
25
Power
Transcribed Image Text:signment A production line operation is tested for filling weight accuracy using the following hypotheses. Hypothesis Conclusion and Action Ho: μ = 16 Filling okay, keep running Ha: #16 Filling off standard; stop and adjust machine The sample size is 30 and the population standard deviation is = 0.6. Use a = .05. Do not round intermediate calculations. a. What would a Type II error mean in this situation? Concluding that the mean filling weight is 16 ounces when it actually isn't b. What is the probability of making a Type II error when the machine is overfilling by .5 ounces (to 4 decimals)? c. What is the power of the statistical test when the machine is overfilling by .5 ounces (to 4 decimals)? d. Choose the power curve for this hypothesis test. A. 1.00 .75 .50 - 25 Power
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