Question

Which set-up is an example of paired data?

A) Two volleyball teams participate in a study to determine if more practice is related to getting more serves in play. One team practices two hours a day and the other practices one hour. After two weeks, each player gets 20 serves. The mean number of serves for each team is calculated and the two numbers are compared.
B) To find out if there is a difference between housing prices in two neighborhoods, a realtor randomly chooses 10 houses in each of two neighborhoods. She calculates the mean price of houses in each neighborhood and compares the two values.
C) To test the effect of a diet pill, a researcher randomly selects 20 subjects of various weights. Subjects are split into 2 groups with the groups being very similar as to the weight of the subjects. The researcher gives all subjects in one group the diet pill and calculates their mean weight loss after 2 weeks. The subjects in the second group receive a placebo and the researcher calculates their mean weight loss after 2 weeks. The researcher then uses the appropriate technique to compare the diet pill with the placebo.
D) A company has 2 sets of scales and believes they give different weight measurements. A Black Belt uses standard weights of 5, 10, 15, 20, 25, 30, 35, 40 , 45, and 50 pounds to get a read-out for each set of scales. She then calculates the difference in the read-outs for each weight and uses the appropriate technique to see if the scales differ from one another as suspected.

Answer 1

Option C represents paired data as two measurements are drawn from the same individuals and the differences are calculated for analysis.

Step-by-step explanation:

The set-up that represents paired data is option C.

Paired data refers to a situation where two measurements or samples are drawn from the same pair of individuals or objects, and the differences between those measurements or samples are calculated and used for analysis.

In option C, the researcher randomly selects 20 subjects and splits them into two groups based on similar weights. One group receives the diet pill, while the other group receives a placebo. The researcher calculates the mean weight loss for each group after 2 weeks and uses the appropriate technique to compare the effects of the diet pill and the placebo.