Students who participated in the Physical stress excerise
ID Age Height(ft,in) Weight (lbs) Blood pressure (Normal) Blood Pressure (Physical Stress)
        Systolic Diastolic Pulse/min Systolic Diastolic Pulse/min
1 17 5'1" 139 93 64 86 150 71 126
2 n/a n/a n/a 129 79 74 161 79 91
3 18 5'4" 117 96 56 67 138 77 140
4 18 6'1" 148 146 83 88 156 62 134
5 18 5'2/5" 128 100 60 62 126 71 98
                   
                   
Students who participated in Physical stress by putting their hands in cold water
ID Age Height(ft,in) Weight (lbs) Blood pressure (Normal) Blood Pressure (Physical Stress cold H2O)
        Systolic Diastolic Pulse/min Systolic Diastolic Pulse/min
1 n/a 5'4" 125 89 52 62 140 101 66
2 n/a n/a 176 114 65 66 127 69 65
3 16 5'0" 95 92 60 77 124 71 71
4 18 5'7" 147 111 62 91 150 123 88
5 n/a n/a n/a 129 79 74 134 76 79
6 18 5'6" 128 122 57 93 124 72 69
7 16 5'1/2" 148 107 68 96 111 74 81
8 18 5'4" 178 119 81 74 129 81 68
9 17 5'5/2" 162 122 76 88 110 60 n/a
10 17 5'5" 158 125 83 77 142 84 78
11 18 4'1/2" 159 96 84 83 125 95 95
12 18 5'1" 183 126 79 82 137 75 77
13 17 5'5" 151 99 59 77 150 66 115
14 17 5'4" 152 100 60 62 91 54 79
Null Hypothesis:
H0:  there is no difference between two cases, normal and running

Alternative Hypothesis:
H1:  The blood pressure is higher after running

t-Test: Paired Two Sample for Means    
  Normal RUN
Mean 112.8 146.2
Variance 550.7 201.2
Observations 5 5
Pearson Correlation 0.666  
Hypothesized Mean Difference 0  
df 4  
t Stat -4.250  
P(T<=t) one-tail 0.007  
t Critical one-tail 2.132  
P(T<=t) two-tail 0.013  
t Critical two-tail 2.776  

Let the significance level, α=0.01,
the maximum tolerable risk of making a mistake
if we decide to reject H0.
p-value is less than 0.01  Þ  Reject H0

  

Null Hypothesis:
H0:  there is no difference between two cases, normal and ice

Alternative Hypothesis:
H1:  The blood pressure is higher after putting hands in ice water

t-Test: Paired Two Sample for Means    
  Normal ICE
Mean 110.79 128.14
Variance 185.41 265.36
Observations 14 14
Pearson Correlation 0.094  
Hypothesized Mean Difference 0  
df 13  
t Stat -3.21  
P(T<=t) one-tail 0.003  
t Critical one-tail 1.77  
P(T<=t) two-tail 0.007  
t Critical two-tail 2.16  

p-value is less than 0.01  Þ  Reject H0

 
ID Age Height(ft,in) Weight (lbs) Blood pressure(Normal) Blood Pressure(Physical Stress) Blood Pressure(Physical Stress cold H2O)
        Systolic Diastolic Pulse/min Systolic Diastolic Pulse/min Systolic Diastolic Pulse/min
#1 n/a 5'4" 125 89 52 62 n/a n/a n/a 140 101 66
#2 n/a n/a 176 114 65 66 n/a n/a n/a 127 69 65
#3 16 5'0" 95 92 60 77 n/a n/a n/a 124 71 71
#4 17 5'1" 139 93 64 86 150 71 126 n/a n/a n/a
#5 18 5'7" 147 111 62 91 n/a n/a n/a 150 123 88
#6 n/a n/a 200 129 79 74 161 79 91 134 76 79
#7 18 5'6" 128 122 57 93 n/a n/a n/a 124 72 69
#8 18 5'4" 117 96 56 67 138 77 140 n/a n/a n/a
#9 16 5'1/2" 148 107 68 96 n/a n/a n/a 111 74 81
#10 18 5'4" 178 119 81 74 n/a n/a n/a 129 81 68
#11 17 5'5/2" 162 122 76 88 n/a n/a n/a 110 60 n/a
#12 18 6'1" 148 146 83 88 156 62 134 n/a n/a n/a
#13 17 5'5" 158 125 83 77 n/a n/a n/a 142 84 78
#14 18 4'1/2" 159 96 84 83 n/a n/a n/a 125 95 95
#15 18 5'1" 183 126 79 82 n/a n/a n/a 137 75 77
#16 17 5'5" 151 99 59 77 n/a n/a n/a 150 66 115
#17 17 5'4" 152 100 60 62 n/a n/a n/a 91 54 79
#18 18 5'2/5" 128 100 60 62 126 71 98 n/a n/a n/a