( a ) t = - 2.63 , 0. 01 lt; P- value lt; 0. 02, fail to reject Ho. Let a = 0. ( b ) If the service time in nightclubs was the same on average for...

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

• Attachment 1
• Attachment 2

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