I need help doing the one sided/single tailed z test both by hand and the commands in r studio if you could please show me. My null hypothesis is that children do not have a higher resting heart rate than adults. While the Alternative Hypothesis is that children have a higher resting heart rate than adults. There is a sample of 100 participants, which are divided into 50 adults, and 50 children. Please show me how to do the problems step by step by both r studio and hand computation, along with what the results mean. I will input my data below.

Adults	Children
63	93
80	78
72	66
90	42
82	102
60	93
75	57
75	80
75	99
60	81
78	93
72	85
75	85
80	85
120	85
105	100
69	105
54	110
72	115
111	75
72	100
69	100
89	80
75	86
75	83
75	42
89	50
72	111
87	123
72	91
82	84
81	78
87	73
90	123
102	100
89	99
94	140
80	110
90	120
78	119
78	83
80	99
84	98
78	100
61	70
65	72
90	105
102	95
99	67
100	65