Question: 2. It is known from past experience that two machines, A and B, used in producing a certain type of thread have standard deviations 0.04

2. It is known from past experience that two machines, A and B, used in producing a certain type of thread have standard deviations 0.04 and 0.03, respectively. The settings of the two machines are changed, and the concern is whether they were both 9.6 Tests Concerning the Difference of Means of Two Populations Having Distributions 387 set alike. To check this, samples of 10 pieces of thread from machine A and 15 pieces of thread from machine B are taken at random, and it is found that ¯XA = 25.34 and

¯X B = 25.42. Test the hypothesis H0: μA = μB versus H1: μA

= μB. at the 5% level of significance. Graph the power function of the test.

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