In: Statistics and Probability
A box contains billions of tickets, all labeled either 2, 3, or 5. A simple random sample of 400 tickets is taken; the sample mean is 3.6 and the sam- ple SD is 1. Let μ represent the population mean. Which of the following statements are correct?
A. The interval between 3.55 and 3.65 is a 90% confidence
interval for μ. B. There is a 90% probability that μ is between
3.55 and 3.65.
C. There is a 95% probability that μ is between 3.5 and 3.7.
D. The interval between 3.5 and 3.7 is a 95% confidence interval
for μ.
Solution:
The correct answer is C.
C. There is 95% probability that u is between 3.5 and 3.7
• Explanation:
• 90% CI is (3.52, 3.68)
• 95% CI is (3.5, 3.7)
Calculation: