Solution Found!
Suppose that n = 100 random samples of water from a
Chapter 8, Problem 9E(choose chapter or problem)
Suppose that \(n=100\) random samples of water from a freshwater lake were taken and the calcium concentration (milligrams per liter) measured. A 95% CI on the mean calcium concentration is \(0.49 \leq \mu \leq 0.82\).
(a) Would a 99% CI calculated from the same sample data be longer or shorter?
(b) Consider the following statement: There is a 95% chance that \(\mu\) is between 0.49 and 0.82. Is this statement correct? Explain your answer.
(c) Consider the following statement: If \(n=100\) random sam-ples of water from the lake were taken and the 95% CI on \(\mu\) computed, and this process were repeated 1000 times, 950 of the CIs would contain the true value of \(\mu\). Is this statement correct? Explain your answer.
Equation Transcription:
Text Transcription:
n=100
0.49</=mu</=0.82
mu
n=100
mu
Questions & Answers
QUESTION:
Suppose that \(n=100\) random samples of water from a freshwater lake were taken and the calcium concentration (milligrams per liter) measured. A 95% CI on the mean calcium concentration is \(0.49 \leq \mu \leq 0.82\).
(a) Would a 99% CI calculated from the same sample data be longer or shorter?
(b) Consider the following statement: There is a 95% chance that \(\mu\) is between 0.49 and 0.82. Is this statement correct? Explain your answer.
(c) Consider the following statement: If \(n=100\) random sam-ples of water from the lake were taken and the 95% CI on \(\mu\) computed, and this process were repeated 1000 times, 950 of the CIs would contain the true value of \(\mu\). Is this statement correct? Explain your answer.
Equation Transcription:
Text Transcription:
n=100
0.49</=mu</=0.82
mu
n=100
mu
ANSWER:
Step 1 of 5
Given,
Sample size,
For a sample mean, 
