Listed below are body temperatures from five different subjects measured at 8 AM and again at 12 AM. Find the values of d and so. In general, what does μ, represent?

Temperature (°F) at 8 AM 97.6, 99.3, 97.2, 97.3, 97.9

Temperature (°F) at 12 AM 98.1, 99.7, 97.4, 96.9, 98.2

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 and sd

d=_

(Type an integer or a decimal. Do not round.)

sd =

(Round to two decimal places as needed.)

In general, what does µd represent?

A. The difference of the population means of the two populations

B. The mean of the differences from the population of matched data

C. The mean of the means of each matched pair from the population of matched data

D. The mean value of the differences for the paired sample data

The value of d is 0.26, representing the mean of the differences between temperatures at 8 AM and 12 AM. The standard deviation, sd, is 0.198, indicating the variability of these differences.

To find the values of d and sd, we need to calculate the differences between the temperatures at 8 AM and 12 AM for each subject and then perform some calculations.

Temperature (°F) at 8 AM: 97.6, 99.3, 97.2, 97.3, 97.9

Temperature (°F) at 12 AM: 98.1, 99.7, 97.4, 96.9, 98.2

To calculate d, we subtract the temperature at 8 AM from the temperature at 12 AM for each subject and find the mean of these differences:

d = mean(temperature at 12 AM - temperature at 8 AM)

d = (98.1 - 97.6 + 99.7 - 99.3 + 97.4 - 97.2 + 96.9 - 97.3 + 98.2 - 97.9) / 5

d = 0.5 + 0.4 + 0.2 - 0.4 + 0.2 + 0.1 - 0.4 + 0.3 + 0.3 - 0.1 / 5

d = 1.3 / 5

d = 0.26

So, d = 0.26

To calculate sd (standard deviation), we need to find the standard deviation of the differences between the temperatures at 8 AM and 12 AM. First, we calculate the differences for each subject, then we find the mean of these differences, and finally, we calculate the standard deviation:

sd = standard deviation(temperature at 12 AM - temperature at 8 AM)

Step 1: Calculate the differences:

98.1 - 97.6 = 0.5

99.7 - 99.3 = 0.4

97.4 - 97.2 = 0.2

96.9 - 97.3 = -0.4

98.2 - 97.9 = 0.3

Step 2: Calculate the mean of the differences:

Mean of differences = (0.5 + 0.4 + 0.2 - 0.4 + 0.3) / 5

Mean of differences = 0.2 / 5

Mean of differences = 0.04

Step 3: Calculate the standard deviation of the differences:

sd = sqrt((0.5 - 0.04)^2 + (0.4 - 0.04)^2 + (0.2 - 0.04)^2 + (-0.4 - 0.04)^2 + (0.3 - 0.04)^2) / (5-1)

sd = sqrt((0.46)^2 + (0.36)^2 + (0.16)^2 + (-0.44)^2 + (0.26)^2) / 4

sd = sqrt(0.2116 + 0.1296 + 0.0256 + 0.1936 + 0.0676) / 4

sd = sqrt(0.628) / 4

sd = 0.792 / 4

sd = 0.198

So, sd = 0.198 (rounded to two decimal places).

In general, µd represents:

B. The mean of the differences from the population of matched data

To learn more about standard deviation Click Here: brainly.com/question/13498201

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