A researcher tests a hypothesis that a diet plan affects body weight. Which of the following test statistics should be applied if the population variance is unknown and the sample... A researcher tests a hypothesis that a diet plan affects body weight. Which of the following test statistics should be applied if the population variance is unknown and the sample size is small? A. Z-test B. Chi-square test C. t-test D. F-test
Understand the Problem
The question is asking which statistical test should be used to determine if a diet plan affects body weight, given that the population variance is unknown and the sample size is small. This indicates a need for knowledge about statistical methods appropriate for small sample sizes with unknown variances.
Answer
t-test
The final answer is C. t-test.
Answer for screen readers
The final answer is C. t-test.
More Information
The t-test is ideal for comparing means when the sample size is small and the population variance is unknown. It is commonly used in hypothesis testing for such conditions.
Tips
Common mistakes include choosing the Z-test, which requires known population variance, or larger sample sizes.