Thank you for visiting Listed below are body temperatures from five different subjects measured at 8 AM and again at 12 PM Find the values of tex d tex. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
The standard deviation of these differences (sd) is:
sd = sqrt([(-2.175)^2 + (0.375)^2 + (0.025)^2 + (0.025)^2] / 3) = 1.12 (rounded to two decimal places)
To calculate the values of d and s for the paired sample data, we need to first find the differences between the temperature at 8 AM and 12 AM for each subject.
The differences are:
99.9 - 97.6 = 2.3
97.9 - 99.4 = -1.5
97.4 - 97.6 = -0.2
97.6 - 97.7 = -0.1
The mean value of these differences (d) is:
d = (2.3 - 1.5 - 0.2 - 0.1) / 4 = 0.125
The standard deviation of these differences (sd) is:
sd = sqrt([(-2.175)^2 + (0.375)^2 + (0.025)^2 + (0.025)^2] / 3) = 1.12 (rounded to two decimal places)
In general, d represents the mean value of the differences for the paired sample data. It measures the average amount by which the second measurement differs from the first measurement. The sign of d indicates the direction of change - a positive value means an increase in the second measurement, and a negative value means a decrease. The sd represents the variability or dispersion of the differences around the mean value.
Learn more about deviation here:
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