Question

Listed below are body temperatures from five different subjects measured at 8 AM and again at 12 AM. Find the values of d overbar and s Subscript d. In​ general, what does mu Subscript d ​represent? Temperature left parenthesis degrees Upper F right parenthesis at 8 AM 98.1 98.7 97.9 97.9 97.9 Temperature left parenthesis degrees Upper F right parenthesis at 12 AM 98.6 99.1 98.3 97.7 98.3 Let the temperature at 8 AM be the first​ sample, and the temperature at 12 AM be the second sample. Find the values of d overbar and s Subscript d. d overbarequals negative 0.3 ​(Type an integer or a decimal. Do not​ round.) s Subscript dequals nothing ​(Round to two decimal places as​ needed.)

Answer 1

The data is :-

First Sample	Second Sample
Temperature (degrees Upper F)at 8 AM	Temperature ( degrees Upper F) at 12 AM
98.1	98.6
98.7	99.1
97.9	98.3
97.9	97.7
97.9	98.3

Now calculating the mean and standard deviation of the sample differences :-

The following table is obtained:

	Sample 1	Sample 2	Difference = Sample 1 - Sample 2
	98.1	98.6	-0.5
	98.7	99.1	-0.39999999999999
	97.9	98.3	-0.39999999999999
	97.9	97.7	0.2
	97.9	98.3	-0.39999999999999
Average	98.1	98.4	-0.3
St. Dev.	0.346	0.51	0.283
n	5	5	5

From the sample data, it is found for the score differences we have :-

          
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