Question
In: Statistics and Probability
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 Action |
|---|---|
|
H0: μ = 32 |
Filling okay; keep running. |
|
Ha: μ ≠ 32 |
Filling off standard; stop and adjust machine. |
The sample size is 45 and the population standard deviation is σ = 0.5. Use α = 0.05.
(a) What would a type II error mean in this situation?
(b) What is the probability of making a type II error when the machine is overfilling by 0.2 ounces?
(c) What is the power of the statistical test when the machine is overfilling by 0.2 ounces?
(d) Show the power curve for this hypothesis test. What information does it contain for the production manager?
Solutions
orchestra answered 1 year 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
Action
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.
What would a Type II error mean in this situation?
What is the probability of making a Type II error when the
machine is overfilling by .5...
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
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
machine...
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.
What would a Type II error mean in this situation?
SelectConcluding 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 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.
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...
A production line operation is tested for filling weightaccuracy using the following hypotheses.Hypothesis Conclusionand...
A production line operation is tested for filling weight
accuracy using the following hypotheses.Hypothesis Conclusion
and ActionH 0: =
16 Filling okay,
keep runningH a: 16
Filling off standard; stop and adjust machineThe sample size is 31 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 statistical test when the machine is...
A production line operation is designed to fill cartons with laundry detergent to a mean weight...
A production line operation is designed to fill cartons with
laundry detergent to a mean weight of 64 ounces. A sample of
cartons is periodically selected and weighed to determine whether
underfilling or overfilling is occurring. If the sample data lead
to a conclusion of underfilling or overfilling, the production line
will be shut down and adjusted to obtain proper filling.
(a) Formulate the null and alternative hypotheses that will help
in deciding whether to shut down and adjust the...
Explain hypothesis testing to a friend, using the following scenario as a model. Describe the hypotheses,...
Explain hypothesis testing to a friend, using the following
scenario as a model. Describe the hypotheses, the sample statistic,
the P-value, the meanings of Type I and Type II errors,
and the level of significance. Discuss the significance of the
results. Formulas are not required.
A team of research doctors designed a new knee surgery technique
utilizing much smaller incisions than the standard method. They
believe recovery times are shorter when the new method is used.
Under the old method,...
Explain hypothesis testing to a friend, using the following scenario as a model. Describe the hypotheses,...
Explain hypothesis testing to a friend, using the following
scenario as a model. Describe the hypotheses, the sample statistic,
the P-value, the meanings of Type I and Type II errors,
and the level of significance. Discuss the significance of the
results. Formulas are not required.
A team of research doctors designed a new knee surgery technique
utilizing much smaller incisions than the standard method. They
believe recovery times are shorter when the new method is used.
Under the old method,...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Write a version of the binary search algorithm that can be used to search a string...
- Using the following reduction potentials: I2(s) + 2e- <---> 2I-(aq) E0 = 0.535 V I2 (aq)...
- Why are learnability and critical thinking crucial skills for the 21stcentury? And, how can you improve...
- Hudson Corporation is considering three options for managing its data warehouse: continuing with its own staff,...
- LUVE produces bracelets. Each band generates $460 in revenue and requires one ounce of gold as...
- (The following data apply to the next three questions.) Assume the following cost and revenue data...
- C# programming Create a classes called AlphabetDice that simulates a multi-sided dices with alphabet characters on...
ADVERTISEMENT