Question 4 (4 points)
Which of the following are correct interpretations of a 95% confidence interval for
the mean? (Select all that apply)
"There is a 95% chance that the sample mean lies within this interval."
"We are 95% confident that the true population mean lies within this interval."
"If we took many samples, 95% of the confidence intervals would contain the
true population mean."
"The interval will contain the sample mean 95% of the time."
Question 5 (2 points)
Which statement correctly describes the result of a 95% confidence interval for the
mean being (45, 55)?
"There is a 95% probability that the sample mean is between 45 and 55."
"The population mean is 50."
"The sample mean is 50."
"We are 95% confident that the true population mean lies between 45 and 55."