Why does sample size need to be accounted for in the t-distribution? Choose the correct answer below. A. The accuracy of the t-distribution depends on the sample size. B. The t-distribution should not be used for large sample sizes. C. The t-distribution becomes less skewed as the sample size increases. D. The t-distribution should not be used for small sample sizes. E. The t-distribution changes for different sample sizes. Click to select your answer.
Added by Ramon W.
Close
Step 1
The t-distribution is used when the population standard deviation is unknown and we are estimating it using the sample standard deviation. Show more…
Show all steps
Your feedback will help us improve your experience
Jon Southam and 83 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Adi S.
Why do t distributions tend to be flatter and more spread out than the normal distribution is? The of the t statistic contains the , which is for different samples. The z-score uses the , which is for different samples. Therefore, the t statistic has variability.
Madhur L.
Which one(s) of the following is correct about the t-distribution and standard normal distribution? Check all that apply. Your answer: The t-distribution and the standard normal distribution approximate as the sample size decreases. Given a sample size less than 30 observations, variability of t-distribution is larger compared to the standard normal distribution. There is more area in the tail of the standard normal distribution than the t-distribution. The standard normal distribution changes shape depending on the sample size while the t-distribution does not. The t-distribution and the standard normal distribution are symmetric.
Ajiboye T.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Watch the video solution with this free unlock.
EMAIL
PASSWORD