Question
In: Statistics and Probability
A production line operation is tested for filling weight accuracy using the following hypotheses.
A production line operation is tested for filling weight accuracy using the following hypotheses.
Hypothesis Conclusion
and Action
H 0: =
16 Filling okay,
keep running
H a: 16
Filling off standard; stop and adjust machine
The sample size is 33 and the population standard deviation is = 1. Use a = .05. Do not round intermediate calculations.
- What is the probability of making a Type II error when the
machine is overfilling by .5 ounces (to 4 decimals)?
- What is the power of the statistical test when the machine is overfilling by .5 ounces (to 4 decimals)?
Solutions
Expert Solution
a)
Answer:
Explanation:
A Type II error is the probability of failing to reject the null hypothesis when the null hypothesis is actually FALSE such that,
The power for the one-sample z test for the two-sided alternative is obtained using the following formula,
The z critical value is obtained from the standard normal distribution table for significance level = 0.05
Hence,
b)
Answer:
Explanation:
The power is obtained in part a.
orchestra answered 2 years agoRelated Solutions
A production line operation is tested for filling weight accuracy using the following hypotheses. Hypothesis Conclusion...
A production line operation is tested for filling weight
accuracy using the following hypotheses.
Hypothesis Conclusion and
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H0: = 16
Filling okay, keep running
Ha: (not equal) 16 Filling
off standard; stop and adjust machine
The sample size is 36 and the population standard deviation is =
0.9. Use = .05.
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A production line operation is tested for filling weight accuracy using the following hypotheses. Hypothesis Conclusion...
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Action H 0: = 16 Filling okay, keep running H a: 16 Filling
off standard; stop and adjust machine The sample size is 33 and the
population standard deviation is = 1. Use = .05. Do not round
intermediate calculations.
What would a Type II error mean in this situation?
What is the probability of making a Type II error when the
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A production line operation is tested for filling weight accuracy using the following hypotheses. Hypothesis Conclusion and...
A production line operation is tested for filling weight
accuracy using the following hypotheses.
Hypothesis Conclusion
and Action
H 0: =
16 Filling okay,
keep running
H a: 16
Filling off standard; stop and adjust machine
The sample size is 37 and the population standard deviation
is = 0.8. Use = .05. Do not round
intermediate calculations.
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A production line operation is tested for filling weight accuracy using the following hypotheses. Hypothesis Conclusion and...
A production line operation is tested for filling weight
accuracy using the following hypotheses.
Hypothesis Conclusion
and Action
H 0: =
16 Filling okay,
keep running
H a: 16
Filling off standard; stop and adjust machine
The sample size is 36 and the population standard deviation
is = 0.8. Use = .05. Do not round
intermediate calculations.
What would a Type II error mean in this situation?
Concluding that the mean filling weight is not 16 ounces when it
actually isConcluding that the mean...
A production line operation is tested for filling weight accuracy using the following hypotheses. Hypothesis Conclusion and...
A production line operation is tested for filling weight
accuracy using the following hypotheses.
Hypothesis Conclusion
and Action
H 0: =
16 Filling okay,
keep running
H a: 16
Filling off standard; stop and adjust machine
The sample size is 40 and the population standard deviation
is = 1. Use = .05. Do not round intermediate
calculations.
What is the probability of making a Type II error when the
machine is overfilling by .5 ounces (to 4 decimals)?
What is the power of the...
A production line operation is tested for filling weight accuracy using the following hypotheses. Hypothesis Conclusion...
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Hypothesis
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Filling okay; keep running.
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Filling off standard; stop and adjust machine.
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keep runningH a: 16
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Sample 2
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