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Answer :
Final Answer:
The value of "d" is 0.46 °F, and the value of "sy" (standard deviation of the differences) is 0.56 °F.
Explanation:
The value of "d" represents the mean difference between the temperatures measured at 8 AM and 12 AM. In this case, "d" is calculated as the average of the temperature differences, which is (98.8 - 98.2 + 99 - 98.2 + 97.8 - 97.2 + 97.5 - 97.2 + 97.8 - 97.2) / 10 = 0.46 °F.
The value of "sy" (standard deviation of the differences) measures the spread or variability of the temperature differences. It tells us how much the individual temperature differences deviate from the mean difference. A smaller "sy" indicates less variability.
In this case, to calculate "sy," we first find the squared differences between each individual temperature difference and the mean difference (0.46). Then, we calculate the mean of these squared differences and take the square root to get the standard deviation. After performing these calculations, we find "sy" to be approximately 0.56 °F.
In summary, "d" represents the average difference between the two sets of temperatures, while "sy" indicates the variability of these differences. A lower "sy" value suggests that the temperature differences are closer to the mean difference, indicating more consistent measurements.
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