Question

A medical researcher believes that a drug changes the body's temperature. Seven test subjects are randomly selected and the body temperature of each is measured. The subjects are then given the drug, and after 30 30 minutes, the body temperature of each is measured again. The results are listed in the table below. Is there enough evidence to conclude that the drug changes the body's temperature? Let d=(body temperature before taking drug)−(body temperature after taking drug) d = (body temperature before taking drug) − (body temperature after taking drug) . Use a significance level of α=0.2 α = 0.2 for the test. Assume that the body temperatures are normally distributed for the population of people both before and after taking the drug. Subject 1 2 3 4 5 6 7 Temperature (before) 99.7 99.7 99.3 99.3 98 98 99.1 99.1 99.7 99.7 100 100 99.5 99.5 Temperature (after) 99.2 99.2 98.8 98.8 98.6 98.6 98.6 98.6 99 99 99.2 99.2 98.7 98.7 Copy Data Step 2 of 5: Find the value of the standard deviation of the paired differences. Round your answer to two decimal places.

Answer 1

Given :

A medical researcher believes that a drug changes the body's temperature. Seven test subjects are randomly selected and the body temperature of each is measured.

Table for calculating the standard devation :

Before (X)	After (Y)	d = X-Y
99.7	99.2	0.5
99.7	99.2	0.5
99.3	98.8	0.5
99.3	98.8	0.5
98	98.6	-0.6
98	98.6	-0.6
99.1	98.6	0.5
99.1	98.6	0.5
99.7	99	0.7
99.7	99	0.7
100	99.2	0.8
100	99.2	0.8
99.5	98.7	0.8
99.5	98.7	0.8
		d = 5.6

Therefore the value of the standard deviation of the paired differences is 0.48