Identify each of the following statements as true or false in relation to confidence intervals (CIs).
Note: 0.5 marks will be taken away for each incorrect answer. The minimum score is 0.
|A 95% CI is a numerical interval within which we are 95% confident that the true mean μ lies.|
|A 95% CI is a numerical interval within which we are 95% confident that the sample mean x¯¯¯ lies.|
|The true mean μ is always inside the corresponding confidence interval.|
|For a sample size n=29, the number of degrees of freedom is n=30.|
|If we repeat an experiment 100 times (with 100 different samples) and construct a 95% CI each time, then approximately 5 of those 100 CIs would not contain the true mean 𝜇.|