Question

1. A medical researcher wants to determine whether a drug changes the body’s temperature. Seven test subjects are randomly selected, and the body temperature (in degrees Fahrenheit) of each is measured. The subjects are then given the drug and after 20 minutes, the body temperature of each is measured again. The results are listed below. Use significance level α = 0.05, and we assume that the body temperatures are normally distributed. Show your work space provided below:

t-Test: Paired Two Sample for Means
	Initial Temperature	Second Temperature
Mean	99.256	98.7
Variance	1.876	0.417
Observations	7	7
Pearson Correlation	0.814
Hypothesized Mean Difference	0
df	6
t Stat	1.596
P(T<=t) one-tail	0.080
t Critical one-tail	1.943
P(T<=t) two-tail	0.161
t Critical two-tail	2.447

1. What type of statistical test was used to understand whether the drug changes the body’s temperature or not? (Note: Is this a z-test or a t-test?  One sample, paired sample or independent sample?) (2p)

2. Identify the claim and state the null and alternative hypothesis. (2p)

3. What is the critical value at the 1% level of significance?  Be sure and include whether this critical value is a z or t value and, if appropriate, include the degrees of freedom associated with this statistical test. (2p)

4. What is the standardized test statistic?  (2p)

5. At 5% level of significance, is there enough evidence to support the analyst’s claim? Should you reject or retain the null hypothesis? Justify your answer with p value. (3p)

6. Is there enough evidence to conclude that the drug changes the body’s temperature? (α = 0.05). What evidence do you use to support your conclusion? (4 p)

Answer 1

The observations are taken on the same subiect: sample size is very smallt sel. Henie, statistical test used here is two sample paired t test. Null Hypothesis i Ho: 41=allinib 1. There is no significant difference in the mean temperature of subject befor and after giving the drug. Alternative Hypothesis e n He enten ire. There is significant difference in the mean temperature of subjects befor and efter the drug has given . at 1% level of significance, ondical value t statistic is, K(97) 23 +1630.01) 31 3.7072 standerdised test statisticis, - tnt rea= mean difference) 15% from given informection, Pralue = 0.161 at for two hailed. : Pralue y X=0.os. Accept Ho at 5% los. once. He is accepted, there is no enough evidence to conclude that drug, change's hody's temperature since, Pralye 7 a=0.os.