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Manufacturing planning wants to estimate plant capacity in order to schedule customer orders and improve on-time delivery.A random sample of ten days output gave the following results for numbers of finished components produced: 577,642,615,655,600,570,640,620,595,and 575.Planning is concerned about the variability of daily output and views as undesirable any variance above 525.
-Test at the 10% significance level the null hypothesis that the population variance for daily output does not exceed 525.


Definitions:

ANOVA Table

A structured display that sums up the sources of variability in a dataset, used primarily in analysis of variance to discern significant differences between means.

Sum of Squares

The total of the squared differences between data points and their mean, reflecting the total variation within a data set.

Error Sum of Squares

A measure of the discrepancy between the data and an estimation model, quantifying the amount of variation in the data that is not explained by the model.

F-Test Statistic

A statistical measure used primarily in ANOVA and regression analysis to evaluate the significance of groups of variables, determining whether variances between sample means are greater than the variance within the samples.

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