Suppose a 95% confidence interval for ?² obtained from a random sample of size 13 is (3.5990, 19.0736). Find the sample variance (round off to the nearest integer).
Added by John R.
Close
Step 1
We know that the 95% confidence interval for the population mean (μ) is given by the formula: $$\bar{x} \pm t_{\frac{\alpha}{2}} \frac{s}{\sqrt{n}}$$ where $\bar{x}$ is the sample mean, $t_{\frac{\alpha}{2}}$ is the t-score corresponding to the 95% confidence Show more…
Show all steps
Your feedback will help us improve your experience
Christopher Dzorkpata and 70 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
Assuming that a sample (N=504) has a sample standard deviation of 2.26, what is the upper bound of a 95% confidence interval if the sample mean is 2.96? 5.94 3.16 2.96 2.76
Adi S.
Assuming that a sample (N=504) has a sample standard deviation of 2.26, what is the upper bound of a 95% confidence interval if the sample mean is 2.96? A. 2.76 B. 2.96 C. 3.16 D. 5.94
T. L.
Let X be normally distributed with the variance Var(X). We sample X and determine the 98% confidence interval for the mean µ. How large should the sample size n be to ensure that µ is estimated within 0.5 or less?
Christopher D.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD