Could you please explain part a) answer in detail with workings shown step by step ?The answer key is given below in the picture

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5 . ( a ) t = – 2.63 , 0. 01 < P- value < 0. 02, fail to reject Ho. Let a = 0. 01.( b ) If the service time in nightclubs was the same on average for males and females , theprobability of observing a sample mean difference at least as low as – 27 would bebetween 0. 01 and 0. 02 .58