The manufacturer of a cell phone component is attempting to increase the component's lifespan by changing the formula of the material it uses to make...

The manufacturer of a cell phone component is attempting to increase the component's lifespan by changing the formula of the material it uses to make that component.  Historically, the component has an average (μ) lifespan of 5,000 hours.  A sample test is run with 22 cell phones that contain the new component and the average life span for the sample (x̄) is 5,100 hours with a standard deviation (s) of 50 hours.  Did the new material increase the component's lifespan?  (a = .05).  Show your work