Question

In: Statistics and Probability

A drapery store manager was interested in determining whether a new employee can install vertical blinds...

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 sample of 10 vertical blind on installations of each of the two employees and computes the following information. Test whether the new employee installs vertical blinds faster, on the average, than the veteran employee, at the level of significance 0.05.

New Employee Veteran Employee
Sample Size 10 10
Sample Mean 22.2 min 24.8 min
Sample Standard Deviation 0.90 min 0.75 min

Let

m1 = true average time takes a new employee to install vertical blinds

and

m2 = true average time takes a veteran employee to install vertical blinds

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