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=0.05α=0.05 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)	100.4	99.9	98	99.3	98.3	99.2	100.5
Temperature (after)	99.6	99.2	98.3	99.2	97.7	98.9	100

Copy Data

Step 1 of 5 : State the null and alternative hypotheses for the test.

Step 2: Find the value of the standard deviation of the paired differences. Round your answer to two decimal places.

Step 3: Compute the value of the test statistic. Round your answer to three decimal places.

Step 4: Determine the decision rule for rejecting the null hypothesis H0H0. Round the numerical portion of your answer to three decimal places.

Step 5: Make the decision for the hypothesis test. (Reject or Fail to Reject the Null Hypothesis)

Answer 1

DOMS Page No. Date solution) tet the temperature before be in and the temperature aftero be xi. Xi do Xi Ya (dirige 99.6 100.4 -018 0.4489 99-2 99.9 -0.7 0.3249 98-3 0:3 1849 99.2 99.3 -0.) 0.0009 97.7 98.3 0.5329 98.9 99.2 0.3 0 1849 100 100.5 -015 0:1369 98 ł = It -0.9 2 -0.13 - 7 7 1.8143 Ma. Ma =0 Eldi-d2 एम a) The null and alternate the hypotheses Hp : Mato, Two-tailed. where Mi is the population mean difference but ween body temperature after and be before drug. b) Se= Ildi-d) 2 h Xth 1.8143 x b 0.30 0.55

DOMS Page No Date 1 The test statistic is b ta (nyod -0.13 0.625 We regent than = 0.05, greater 0.5517 d) y Pvalue is less than 2=0.05 Mo and if p-value is fail to reject no so, povalue is 0.55498 which is greater than 2=0.05, We fail to reject to e) And conclude that, there is no significant difference between the body temperature after and defore taking drug' +

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