Vertical Blinds Installation Narrative
a Drapery Store Manager Was Interested $\alpha$

question 19

Essay

Vertical Blinds Installation Narrative
A drapery store manager was interested in determining whether a new employee can install vertical blinds faster than an employee who has been with the company for two years. The manager takes independent samples of ten vertical blind installations of each of the two employees and computes the following information.
-A logger knows the average time for his cutting machine to cut 20 trees is 9.8 minutes. A new machine on the market claims to cut the trees in less than 9.8 minutes. A random sample of 25 test runs on the new machine yielded a mean of 8.5 minutes with a standard deviation of 1.5. Do the sample data suggest the new machine cuts faster than the logger's machine? Test at the $\alpha$ = 0.05 level. Assume the cutting time is normally distributed and interpret your results.

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Definitions:

Error

The discrepancy between the actual measurement and its real value.

Mean Square

A statistical measure of the average of squared differences from the mean, used in various analyses like variance and ANOVA.

Treatments

In experiments, treatments are the conditions applied to subjects or groups to determine their effect on outcomes of interest.

Mean Square

A statistical measure used in variance and regression analysis, representing the average of the squares of the differences between observed and expected values.