What is the appropriate rejection region for hypothesis test

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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             4.8 min

Standard Deviation              0.90 min            .75 min

using the null and alternate hypothesis:

H0: mu1-mu2=0 vs. Ha: mu1-mu2 <0

The test statistic is -7.018

Alpha 0.05

What is the appropriate rejection region for this hypothesis test?

A) Reject H0 if t< -t_(alpha = 0.025, df = 19)

B) Reject H0 if t< -t_(alpha = 0.05, df = 18)

C) Reject H0 if t< -t_(alpha = 0.025, df = 18)   

D) Reject H0 if t< -t_(alpha = 0.05, df = 19)

Reference no: EM131974954

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