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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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