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 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. Subject 1 2 3 4 5 6 7 Temperature (before) 97.997.9 98.898.8 97.997.9 100100 100.6100.6 99.399.3 98.898.8 Temperature (after) 97.697.6 98.798.7 98.798.7 99.699.6 100100 98.798.7 98.2
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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 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
| Subject | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|---|
| Temperature (before) | 97.997.9 | 98.898.8 | 97.997.9 | 100100 | 100.6100.6 | 99.399.3 | 98.898.8 |
| Temperature (after) | 97.697.6 | 98.798.7 | 98.798.7 | 99.699.6 | 100100 | 98.798.7 | 98.2 |
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