A simple random sample of 60 items resulted in a sample mean of 10. The population standard deviation is ? = 20. a. Compute the 95% confidence interval for the population mean. Round your answers to one decimal place. ( , ) b. Assume that the same sample mean was obtained from a sample of 90 items. Provide a 95% confidence interval for the population mean. Round your answers to two decimal places. ( , ) c. What is the effect of a larger sample size on the interval estimate? Larger sample provides a margin of error.
Added by Sarah W.
Close
Step 1
The 95% confidence interval for the population mean is ±0.975. Show more…
Show all steps
Your feedback will help us improve your experience
Clarissa Barr and 87 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
A simple random sample of 10 items resulted in a sample mean of 80. The population standard deviation is σ = 20. a. Compute the 95% confidence interval for the population mean. Round your answers to one decimal place. b. Assume that the same sample mean was obtained from a sample of 90 items. Provide a 95% confidence interval for the population mean. Round your answers to two decimal places. c. What is the effect of a larger sample size on the interval estimate? Larger sample provides a margin of error.
Roee S.
Determine the margin of error for a confidence interval to estimate the population mean with n = 45 and σ = 43 for the following confidence levels. a) 90% b) 96% c) 97% Click the icon to view the cumulative probabilities for the standard normal distribution. a) With a 90% confidence level, the margin of error is . (Round to two decimal places as needed.)
Qudsiya A.
Christopher D.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD