Question
An automotive part must be machined to close tolerances to be acceptable to customers. Production specifications call for a maximum variance in the lengths of
An automotive part must be machined to close tolerances to be acceptable to customers. Production specifications call for a maximum variance in the lengths of the parts of 0.0004. A quality control sample produced the data in the Microsoft Excel Online file below. Using = 0.05, test to see whether the population variance specification is being violated.
Formulate the null and alternative hypotheses for this application.
Test statistic = (to 2 decimals)
| Part Length | Inferences About a Population Variance | ||
| 5.015 | |||
| 4.98 | Sample size | ||
| 5.01 | Sample mean | ||
| 4.945 | Sample variance | ||
| 5 | Sample standard deviation | ||
| 4.97 | |||
| 5.005 | Hypothesized variance | 0.0004 | |
| 4.965 | |||
| 5.02 | Degrees of freedom | ||
| 4.96 | |||
| 4.985 | Level of significance | 0.05 | |
| 4.95 | |||
| 5.015 | Critical Value (2 decimals) | ||
| 4.995 | |||
| 4.955 | Test statistic (2 decimals) | ||
| 4.985 | |||
| 4.99 | p-value (4 decimals) | ||
| 4.985 | |||
| 4.995 | Reject null hypothesis? | ||
| 5.005 | |||
| 4.975 | |||
| 4.99 | |||
| 5.015 | |||
| 4.98 | |||
| 5.01 | |||
| 4.995 | |||
| 4.995 | |||
| 5.005 | |||
| 4.955 | |||
| 4.945 |
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Statistics For Business And Economics
Authors: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams
11th Edition
978-0324783254, 324783256, 978-0324783247, 324783248, 978-0538481649
