Consider the reaction time in seconds for the two versions of the robots (Y1 and Y2)....

Consider the reaction time in seconds for the two versions of the robots (Y1 and Y2). The company tested 40 robots with software version Y1 and 20 robots with software version Y2. The company is interested to test if the response time between versions Y1 and Y2 are different. The population standard deviation is not known but you can assume that the standard deviations in the response time are the same for both versions.

	N	Mean	Sample Std. Dev
Y1	20	50.19	1.71
Y2	20	52.52	2.48

A) Construct a hypothesis and test if the null hypothesis can be rejected at the significance level of .05? why?

B) If the hypotheses had been H0: u1-u2 = 2 versus H1: u1-u2 ≠ 2 would you reject the null hypothesis?

Expert Solution

Hence, we would reject the null hypothesis in this case as well.

orchestra answered 2 years ago

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