A soccer fan was interested in estimating the mean salary of professional soccer players. He took a random sample of professional soccer players and recorded the annual salaries of each. After looking at a histogram of the data, he noticed that the data were right-skewed. He took the log of each value and verified that the distribution of these transformed data was approximately normal. What test/method should be used to estimate the mean annual salary of profession soccer players?
A)Sign test
B)Data transformation and t-confidence interval of transformed data
C)Mann-Whitney Test
D)Independent samples t-test

Question

Quizplus · Accepted Answer

Given the data were right-skewed, the fan transformed the data (using log transformation) to achieve a normal distribution. For normally distributed data, especially when estimating the mean, a t-confidence interval is appropriate. The transformation makes the t-confidence interval of the transformed data the correct method.

A Soccer Fan Was Interested in Estimating the Mean Salary