Final answer:
The Paired T-test is the statistical test used to compare two sets of mean for matched pairs. This test analyzes the differences between paired measurements using the Student's t-distribution with degrees of freedom based on the number of pairs. Option d
Step-by-step explanation:
To compare two sets of mean, the appropriate statistical test is the Paired T-test. This test is specifically used for a test of matched pairs, where subjects are matched in pairs, and the differences between each pair are calculated. The differences become the data that are then analyzed.
The matched or paired samples t-test is used when the situation has these characteristics:
Tests the differences by subtracting one measurement from the other measurement
The random variable is the mean of the differences, often denoted as xd
The test assumes that the population mean difference is zero (H0: μd = 0)
It utilizes the Student's t-distribution
The degrees of freedom for the t-test are n - 1, where n is the number of pairs
The population standard deviations are unknown
The distribution to use is the Student's t-distribution
Other options like Chi-square and Coefficient of Variation (CV) are not typically used for comparing two sets of means. Chi-square is a test of a single variance, while CV is a measure of relative variability and not a test statistic. Option d