Asked by James Logan on Jun 07, 2024
Verified
An aircraft manufacturer requires bolts that are part of the landing gear assembly to have a mean diameter of 1.1 inches with a variance of no more than 0.04 inches2. The bolts are purchased from an outside supplier. A random sample of 30 bolts from a recently received shipment yielded a variance of 0.054 inches2. Should the shipment be returned? Perform the appropriate test of hypothesis using = 0.05.
Test Statistic = ______________
Reject Region: Reject H0 if > ______________
Conclusion: ______________
Conclusion: ______________
Hypothesis
A proposed explanation for a phenomenon, designed to be tested through experimentation or observation.
Mean Diameter
The average length of a set of diameters measured across different points or objects.
Variance
A measure of the dispersion of a set of data points around their mean value, indicating how spread out the data points are.
- Proceed with tests of hypotheses and develop confidence intervals for means and variances in populations.
- Apply appropriate statistical methods to test hypotheses about means and variances in practical situations.
Verified Answer
AP
Ashley PantazopoulosJun 10, 2024
Final Answer :
39.15; 42.5569; Do not reject H0; DO NOT send back shipment.
Learning Objectives
- Proceed with tests of hypotheses and develop confidence intervals for means and variances in populations.
- Apply appropriate statistical methods to test hypotheses about means and variances in practical situations.
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