Question on Confidence Interval and 95%

Click For Summary
SUMMARY

The discussion focuses on constructing a 95% confidence interval for the mean area of display ads in a sample of 20 pages from the Ameritech Pages Plus Yellow Pages directory. The calculated confidence interval is based on the provided data set, which includes measurements in square millimeters. Additionally, the conversation addresses potential issues with normality in the data distribution and explores the necessary sample size to achieve a margin of error of ±10 square millimeters with 99% confidence. The data originates from a project by MBA student Daniel R. Dalach.

PREREQUISITES
  • Understanding of confidence intervals and their construction
  • Familiarity with statistical concepts such as normality and sample size determination
  • Knowledge of statistical software or tools for data analysis (e.g., R, Python)
  • Basic proficiency in interpreting statistical data and results
NEXT STEPS
  • Learn how to calculate confidence intervals using R or Python
  • Study the implications of normality on statistical analysis
  • Research sample size determination techniques for different confidence levels
  • Explore the Central Limit Theorem and its relevance to sample distributions
USEFUL FOR

Statisticians, data analysts, MBA students, and anyone involved in statistical research or data interpretation will benefit from this discussion.

das4862
Messages
2
Reaction score
0
A sample of 20 pages was taken without replacement from the 1,591-page phone directory
Ameritech Pages Plus Yellow Pages. On each page, the mean area devoted to display ads was measured(a display ad is a large block of multicolored illustrations, maps, and text). The data (in square millimeters) are shown below:

0 260 356 403 536 0 268 369 428 536
268 396 469 536 162 338 403 536 536 130

Questions to answer are:

(a) Construct a 95 percent confidence interval for the true mean. (b) Why might normality be an
issue here? (c) What sample size would be needed to obtain an error of ±10 square millimeters
with 99 percent confidence? (d) If this is not a reasonable requirement, suggest one that is. (Data
are from a project by MBA student Daniel R. Dalach.) DisplayAds
 
Physics news on Phys.org
What have you tried for these?
 

Similar threads

Undergrad Confidence interval on Standard deviation
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Convergence of 2 sample means with 95% confidence
  • · Replies 7 ·
Replies
7
Views
2K
Undergrad T-distribution, standard error - how to interpret
  • · Replies 7 ·
Replies
7
Views
4K
Undergrad How Does t0.975 Give a 95% Confidence Interval?
  • · Replies 9 ·
Replies
9
Views
4K
Undergrad How to Determine a 95% Confidence Interval and Best-Fit Distribution in Excel?
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad Solving Statistics Retour: 95% Confidence Interval & Hypothesis Test
  • · Replies 1 ·
Replies
1
Views
2K
Confidence Interval and Chi-square
  • · Replies 1 ·
Replies
1
Views
14K
Python What is the Position of Two Colliding Balls in a 2D Box after 10 Seconds?
  • · Replies 41 ·
2
Replies
41
Views
6K
Graduate How can I avoid large exponents in calculations with small answers?
  • · Replies 5 ·
Replies
5
Views
3K