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 3030 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 after taking drug)−(body temperature before taking drug)d=(body temperature after taking drug)−(body temperature before taking drug). Use a significance level of α=0.02α=0.02 for the test. Assume that the body temperatures are normally distributed for the population of people both before and after taking the drug.

Step 1 of 5 :  

State the null and alternative hypotheses for the test.

Step 2 of 5 :  

Find the value of the standard deviation of the paired differences. Round your answer to one decimal place.

Step 3 of 5 :  

Compute the value of the test statistic. Round your answer to three decimal places.

Step 4 of 5 :  

Find the p-value for the hypothesis test. Round your answer to four decimal places.

Step 5 of 5 :  

Draw a conclusion for the hypothesis test.

Subject	1	2	3	4	5	6	7
Temperature (before)	100.6100.6	100100	99.299.2	100.2100.2	100.3100.3	100.1100.1	100.3100.3
Temperature (after)	100.1100.1	99.699.6	100100	99.599.5	99.999.9	99.599.5	99.899.8

Answer 1

Step 1 of 5 :  

null Hypothesis:μd		=	0
alternate Hypothesis: μd		≠	0

Step 2 of 5 :  

value of the standard deviation of the paired differences =0.5

Step 3 of 5 :   value of the test statistic = 1.705 (please try 1.708 or 1.739 if this comes wrong)

Step 4 of 5 :   p value =0.1392

Step 5 of 5 : fail to reject Ho since p value > 0.02