The p-value is the smallest significance level (i.e. \(\alpha\)) at which \(H_{0}\) would be rejected. So if \(p\le\alpha'\), you reject...
Steps to Carry Out The Experiment Identify the parameter of interest. Determine the null value and state the null hypothesis. State the...
The one-sample t-distribution confidence interval is robust for small or even moderate departures from normality, unless \(n\) is very...
What if you have \(n\) observations in a normal distribution and want to predict \(X_{n+1}\)? The prediction interval is \(\bar{x}\pm...
Say you take a sample where \(n\) is not large. Then the CLT doesn’t apply. We must then know/assume a distribution. Suppose we know it...
Let \(\Sample\) be independent and identically distributed from \(N(\mu,\sigma^{2})\). Define the following random variable:...