A drapery store manager was interested in determining whethe

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 10 vertical blind installations of each of the two employees and computes the following information. New Employee Veteran Employee Sample Size 10 10 Sample Mean 22.2 min 24.8 min Standard Deviation 0.90 min 0.75 min Using the following null and alternate hypothesis: H0:mu1-mu2=0 vs. Ha:mu1-mu2<0 Test statistic is t=-7.018 Assume alpha = 0.05 what is the appropriate conclusion for this test?

Solution

as you have the t value that is -7.018

we just need to find the critical value for alpha 0.05

and degree of freedom = 10-1 = 9

critical value finding in tables of T distribution : -1.833

so as T< critical value

we reject Ho

conclusion

there is a difference between the means