The sample size is 37 and the population standard deviation is o = 0.7. Use a = .05. Do not round intermediate calculations. a. What would a Type II error mean in this situation? Select 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)?

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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  = 0.7. Use  = .05. Do not round intermediate calculations.

A production line operation is tested for filling weight accuracy using the following hypotheses.
Hypothesis
Conclusion and Action
Ho:
= 16
Filling okay, keep running
Ha: µ # 16
Filling off standard; stop and adjust machine
The sample size is 37 and the population standard deviation is o = 0.7. Use a = .05. Do not round intermediate calculations.
a. What would a Type II error mean in this situation?
Select
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
Power
.50
.25
.00
15.6 15.8 16.0 16.2
16.4
Possible Values of u
Transcribed Image Text:A production line operation is tested for filling weight accuracy using the following hypotheses. Hypothesis Conclusion and Action Ho: = 16 Filling okay, keep running Ha: µ # 16 Filling off standard; stop and adjust machine The sample size is 37 and the population standard deviation is o = 0.7. Use a = .05. Do not round intermediate calculations. a. What would a Type II error mean in this situation? Select 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 Power .50 .25 .00 15.6 15.8 16.0 16.2 16.4 Possible Values of u
1.00
.75
Power
.50
.25
.00
15.6
15.8
16.0 16.2 16.4
Possible Values of u
C.
1.00
.75
Power
.50
.25
.00
15.6 15.8 16.0 16.2 16.4
Possible Values of u
Select
What information does the power curve contain for the production manager?
The probability of rejecting
v the alternative v hypothesis for various mean filling weights.
B.
Transcribed Image Text:1.00 .75 Power .50 .25 .00 15.6 15.8 16.0 16.2 16.4 Possible Values of u C. 1.00 .75 Power .50 .25 .00 15.6 15.8 16.0 16.2 16.4 Possible Values of u Select What information does the power curve contain for the production manager? The probability of rejecting v the alternative v hypothesis for various mean filling weights. B.
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