Question

Is Mr. B’s class has the better students who are good rope jumpers than Mrs. A’s class?

Please solve the problem and show the necessary tests and calculations

Mrs. A’s class		Mr. B’s class
Boy	5		Boy	1
Boy	35		Boy	30
Girl	91		Boy	28
Boy	62		Boy	10
Girl	96		Girl	27
Girl	23		Girl	102
Boy	16		Boy	47
Boy	1		Boy	8
Boy	8		Girl	160
Boy	11		Girl	23
Girl	93		Boy	17
Girl	27		Boy	26
Girl	88		Girl	68
Boy	2		Boy	50
Boy	7		Girl	151
Boy	7		Boy	60
Boy	1		Boy	5
Boy	40		Girl	52
Boy	7		Girl	4
Boy	20		Girl	35
Girl	300		Boy	160
Girl	90		Boy	1
Boy	29		Boy	3
Boy	11		Boy	8
Boy	113		Girl	48
Boy	33		Boy	42
Girl	45		Boy	33
Girl	80		Girl	20
			Girl	104
			Girl	53

Answer 1

We have 28 and 30 observations from Mrs. A and Mr.B 's class respectively. To test if the students in Mr.B's class are better who are good rope jumpers than Mrs.A's class we assume that the measurements of rope jumping follows normal distribution with unequal mean and equal and unknown variance, we also assume independence between the two classes and use Fisher's t-test.The step by step explanations are given in the images...