Assume simple random sampling. Calculate the 95% confidence interval estimate for the population mean for each of the following. a. N = 1500; n = 70; s = 10; x? = 144 b. N = 1675; n = 80; s² = 81; x? = 232.4 c. N = 5200; n = 250; s² = 124; x? = 59.7 a. 141.616 < ? < 146.384 (Round to three decimal places as needed.)
Added by Natalia G.
Close
Step 1
Calculate the t-value for a 95% confidence level with 69 degrees of freedom: t = 1.995 Margin of error = t * (S / sqrt(n)) = 1.995 * (10 / sqrt(70)) = 1.995 * (10 / 8.367) = 1.995 * 1.194 = 2.383 Show more…
Show all steps
Your feedback will help us improve your experience
Kumar Abhinav and 89 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
Assume simple random sampling: Calculate the 95% confidence interval estimate for the population mean for each of the following_ N=1400; N=1675; N= 5200; n= 70; n = 80; n= 200; s = 10; s2 =64; s = 125; X=140 x=234.5 X=57.4 (Round to three decimal places as needed )
Ahmet Y.
Assume simple random sampling. Calculate the 95% confidence interval estimate for the population mean for each of the following. a. N = 1700; n = 70 s = 88; x = 142 b. N = 1825 n = 80 s^2 = 64; x = 231.9 c. N = 6200; n = 200; s^2 = 130; x = 58.6 a. __< μ <__ (Round to three decimal places as needed.) b. __< μ <__ (Round to three decimal places as needed.) c. __< μ <__ (Round to three decimal places as needed.)
Samriddhi S.
A random sample is drawn from a population of unknown standard deviation. Construct a $98 \%$ confidence interval for the population mean based on the information given. a. $\quad n=225, x-92.0, s=8.4$ b. $\quad n=64, x-92.0, s=8.4$
Estimation
Large Sample Estimation of a Population Mean
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