The sampling distribution for the variance of a normal distribution with varianceis given by This means that if a random sample of sizeis taken from a normally distributed population with variancethen the random variablehas thedistribution withdegrees of freedom. To perform a hypothesis test for the hypothesis Is the population normal? State the null hypothesis – […]

## Confidence Interval For The Mean of a Normal Distribution When the Standard Deviation is Not Given

If samples of sizeare taken from a population whose meanand standard deviationis known thenthe mean of the sample has the normal distributionIf we know the standard deviation but not the mean of the population then we can find a confidence interval for the mean of the population by rearranging(1) to give (2) with probability corresponding […]