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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

1 Answer

4 votes

Answer:

= −0.26

= 0.4219

Explanation:

Given:

Sample1: 98.1 98.8 97.3 97.5 97.9

Sample2: 98.7 99.4 97.7 97.1 98.0

Sample 1 Sample 2 Difference d

98.1 98.7 -0.6

98.8 99.4 -0.6

97.3 97.7 -0.4

97.5 97.1 0.4

97.9 98.0 -0.1

To find:

Find the values of and

d overbar ( ) is the sample mean of the differences which is calculated by dividing the sum of all the values of difference d with the number of values i.e. n = 5

= ∑d/n

= (−0.6 −0.6 −0.4 +0.4 −0.1) / 5

= −1.3 / 5

= −0.26

s Subscript d is the sample standard deviation of the difference which is calculated as following:

= √∑( - )²/ n-1

=

= √ (−0.6 − (−0.26 ))² + (−0.6 − (−0.26))² + (−0.4 − (−0.26))² + (0.4 −

(−0.26))² + (−0.1 − (−0.26))² / 5−1

=

=

=

= 0.4219

= 0.4219

Subscript d ​represent

μ represents the mean of differences in body temperatures measured at 8 AM and at 12 AM of population.

Explanation:

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