Which of the following is the appropriate kind of data to use a paired t-test?Question 1Answera.Pairs of people chosen at random to work with each other on a puzzleb.Two groups of people, one assinged to read a persuasive message, the other assigned to watch a videoc.Pairs of people working on a task, one of whom is the teacher and one is the learnerd.A comparison between people's height in inches and people's weight in pounds
Question
Which of the following is the appropriate kind of data to use a paired t-test?Question 1Answera.Pairs of people chosen at random to work with each other on a puzzleb.Two groups of people, one assinged to read a persuasive message, the other assigned to watch a videoc.Pairs of people working on a task, one of whom is the teacher and one is the learnerd.A comparison between people's height in inches and people's weight in pounds
Solution
The appropriate kind of data to use a paired t-test is option a. Pairs of people chosen at random to work with each other on a puzzle.
Here's why:
A paired t-test is used to compare the means of two related groups to determine if there is a significant difference between them. This test is used when the samples are dependent; that is, when there is only one sample that has been tested twice (repeated measures) or when there are two samples that have been matched or "paired".
In this case, option a. "Pairs of people chosen at random to work with each other on a puzzle" is the most suitable for a paired t-test because it involves pairs of individuals who are working together, making the two samples related.
Option b. "Two groups of people, one assigned to read a persuasive message, the other assigned to watch a video" would be more suitable for an independent t-test as the two groups are not related or paired.
Option c. "Pairs of people working on a task, one of whom is the teacher and one is the learner" could potentially be suitable for a paired t-test, but it would depend on the specifics of the study design.
Option d. "A comparison between people's height in inches and people's weight in pounds" would not be suitable for a t-test at all, as it involves comparing two different variables rather than comparing the means of two groups. This would be more suitable for a correlation or regression analysis.
Similar Questions
Which of these examples of samples is appropriate for a paired t-test?Question 7Answera.The pupils in a boys’ school, and in a girls’ school in the same townb.Pairs of same-gender twinsc.Sets of two people solving word puzzles together over the internetd.Surveys given to a group of fathers and their oldest child
The paired t-test is essentially ...Question 2Answera.A two-sample t-test with the null hypothesis that the two means are differentb.A two-sample t-test with the null hypothesis that the two means are equalc.A one-sample t-test with the null hypothesis that the difference scores have a mean equal to the higher scored.A one-sample t-test with the null hypothesis that the difference scores have a mean of 0
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An athletic trainer wants to find out if there is a significant difference in the mean height of football players and basketball players in a large school district. She randomly selects 100 high school varsity football players and 100 high school varsity basketball players to compare the mean heights for each group.Which of the following is the most appropriate statistical test to use to determine if there is a significant difference in mean height between basketball and football players? ANOVA Matched pairs t-test Inference for regression Chi-squared test for independence Two-sample t-test
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