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.pleae show work

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

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?)

Identify the claim and state the null and alternative hypothesis.

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.

What is the standardized test statistic?  

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.

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?

Answer 1