Heart rate measurements taken on the left and right arms of a person are assumed to be comparable. 10 volunteers are obtained and readings are taken simultaneously on both arms. Using a significance level of 0.05 and ? = ? − ?, test if there is a mean difference in heart rate.
Volunteer |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
Left Arm |
130 |
120 |
135 |
100 |
98 |
110 |
123 |
136 |
140 |
155 |
Right Arm |
126 |
124 |
127 |
95 |
102 |
109 |
124 |
132 |
137 |
156 |
Construct a 95% Confidence Interval for the difference in mean BP readings. Interpret your results
We construct the following table:
Patient | L | R | d=L-R |
1 | 130 | 126 | 4 |
2 | 120 | 124 | -4 |
3 | 135 | 127 | 8 |
4 | 100 | 95 | 5 |
5 | 98 | 102 | -4 |
6 | 110 | 109 | 1 |
7 | 123 | 124 | -1 |
8 | 136 | 132 | 4 |
9 | 140 | 137 | 3 |
10 | 155 | 156 | -1 |
The 95% Confidence Interval for mean is given by
Computation
Putting in the values, we get the 95% Confidence Interval as:
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