Answer :
The given data consists of body temperatures from five subjects measured at 8 AM and again at 12 AM. We need to find the values of d and sy. Additionally, we need to determine the general representation of the variable 'a' in this context.
To find the values of d and sy, we need to calculate the differences between the paired measurements for each subject. The value of d represents the differences between the paired measurements, which in this case would be the temperature at 12 AM minus the temperature at 8 AM for each subject. By subtracting the corresponding values, we get the following differences: 0.8, 0.4, 0.2, -0.2, and 0.3.
The value of sy represents the standard deviation of the differences. To calculate sy, we take the square root of the sum of squared differences divided by (n-1), where n is the number of subjects.
Regarding the general representation of the variable 'a, in this context, 'a' represents the mean value of the differences for the paired sample data. It indicates the average change or shifts between the measurements at 8 AM and 12 AM. By finding the mean of the differences, we can estimate the average change in body temperature from morning to afternoon for the subjects in the sample.
'd' represents the individual differences between the paired measurements, 'sy' represents the standard deviation of those differences, and 'a' represents the mean value of the differences for the paired sample data. Please note that the provided word count includes the summary and the explanation.
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