i need answer of part D only please give typed answer

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 9E
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i need answer of part D only please give typed answer

A production line operation is tested for filling weight accuracy using the following hypotheses.
Hypothesis
Conclusion and Action
Ho: H = 16
Filling okay; keep running.
Ha: u # 16
Filling off standard; stop and adjust machine.
The sample size is 30 and the population standard deviation is o = 0.7. Use a = 0.05.
(a) What would a type II error mean in this situation?
O Accepting Ho and letting the process continue to run when actually over-filling or under-filling exists.
O Rejecting H, and letting the process continue to run when actually over-filling or under-filling exists.
O Accepting H and stopping the process when actually no over-filling or under-filling exists.
O Rejecting H and stopping the process when actually no over-filling or under-filling exists.
(b) What is the probability of making a type II error when the machine is overfilling by 0.4 ounces? (Round your answer to four decimal places.)
(c) What is the power of the statistical test when the machine is overfilling by 0.4 ounces? (Round your answer to four decimal places.)
(d) Show the power curve for this hypothesis test.
1.0
1.0
1.0아
0.8
0.8
0.8
E 0.6
E 0.6
E 0.6
0.4
0.4
E 0.4
0.2
0.2
0.2
0.0
0.0
0.0아
15.4 15.6 15.8 16.0 16.2 16.4 16.6
15.4 15.6 15.8 16.0 16.2 16.4 16.6
15.4 15.6 15.8 16.0 16.2 16.4 16.6
Possible values of µ
Possible values of µ
Possible values of µ
Power
Power
Transcribed Image Text:A production line operation is tested for filling weight accuracy using the following hypotheses. Hypothesis Conclusion and Action Ho: H = 16 Filling okay; keep running. Ha: u # 16 Filling off standard; stop and adjust machine. The sample size is 30 and the population standard deviation is o = 0.7. Use a = 0.05. (a) What would a type II error mean in this situation? O Accepting Ho and letting the process continue to run when actually over-filling or under-filling exists. O Rejecting H, and letting the process continue to run when actually over-filling or under-filling exists. O Accepting H and stopping the process when actually no over-filling or under-filling exists. O Rejecting H and stopping the process when actually no over-filling or under-filling exists. (b) What is the probability of making a type II error when the machine is overfilling by 0.4 ounces? (Round your answer to four decimal places.) (c) What is the power of the statistical test when the machine is overfilling by 0.4 ounces? (Round your answer to four decimal places.) (d) Show the power curve for this hypothesis test. 1.0 1.0 1.0아 0.8 0.8 0.8 E 0.6 E 0.6 E 0.6 0.4 0.4 E 0.4 0.2 0.2 0.2 0.0 0.0 0.0아 15.4 15.6 15.8 16.0 16.2 16.4 16.6 15.4 15.6 15.8 16.0 16.2 16.4 16.6 15.4 15.6 15.8 16.0 16.2 16.4 16.6 Possible values of µ Possible values of µ Possible values of µ Power Power
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,