Blood-pressure measurements taken on the left and right arms of a person are ass

Question

Blood-pressure measurements taken on the left and right arms of a person are assuemd to be comparable. To test this assumption, 10 volunteers are obtained and systolic blood-pressure readings are taken simultaneously on both arms by two different observers, Ms Jones for the left arm and Mr Smith for the right arm. The data are given in the table below.

Briefly explain your reasoning for each answer and how you derived it.

1. Assuming that the two observes are comparable, test whether or not the two arms give comparable readings.
2. What are the range of p-values based on the answer derived from question 1.
3. From the range of p-values that you get, what can we conclude at alpha=5% level?

Patient Left Arm Right Arm 1 130 126 2 120 124 3 135 127 4 100 95 5 98 102 6 110 109 7 123 124 8 136 132 9 140 137 10 155 156

Explanation / Answer

p-value = 0.8638

As p-value is greater than significance level of 0.05, we are failed to reject null hypothesis. There are not sufficient evidence to conclude that two means ae different.

Given Data Left Arm Right Arm Name mean 124.7 123.2 Sample size 10 10 Std. dev. 18.19 17.68

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