We appreciate your visit to A professor wants to estimate how many hours per week her students study A simple random sample of 53 students had a mean of 19. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
The 90% confidence interval for the mean number of hours a student studies per week is approximately (16.62, 21.38) hours. This means that we can be 90% confident that the true mean falls within this interval.
To construct the confidence interval, we can use the formula:
CI = X ± Z * (σ/√n),
where CI represents the confidence interval, X is the sample mean, Z is the Z-score corresponding to the desired confidence level, σ is the population standard deviation, and n is the sample size.
Given that the sample mean is 19 hours (X, the population standard deviation is 33 hours (σ), and the sample size is 53 (n), we can proceed with calculating the confidence interval.
Using a Z-score corresponding to a 90% confidence level (which is approximately 1.645), the formula becomes:
CI = 19 ± 1.645 * (33/√53).
Calculating the values:
CI = 19 ± 1.645 * (33/√53) ≈ 19 ± 2.88.
Rounding to two decimal places, the 90% confidence interval for the mean number of hours a student studies per week is approximately (16.62, 21.38) hours. This interval suggests that we can be 90% confident that the true mean number of hours falls within this range.
Learn more about standard deviation :
brainly.com/question/29115611
#SPJ11
Thanks for taking the time to read A professor wants to estimate how many hours per week her students study A simple random sample of 53 students had a mean of 19. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
