## Inferences on Hypothesis Testing #### Hypothesis testing for the standard deviation from a normal variate (mainstream) Hypothesis testing for the standard deviation is strictly a hypothesis test for the variance which requires the following steps: #### Hypothesis testing for the mean from a normal variate (mainstream) Hypothesis testing for the mean requires the following steps: #### Hypothesis testing for the difference in the ratio of two standard deviations from two normally distributed population (mainstream) Hypothesis testing for the ratio of two standard deviations is based on hypothesis testing for the ratio of two variances according to the following steps: #### Hypothesis testing for the difference in the averages from two normally distributed population (mainstream) Hypothesis testing for the difference in two averages: 1. Randomly sample n1 items from population 1 and n2 from population 2. N1 can be equal to n2. #### Hypothesis testing for the Cp and Cpk index sampled from a Normal distribution (mainstream) One option is to calculate a confidence interval using sample information. If the confidence interval covers the reference value, then the null hypothesis is accepted. #### Hypothesis testing for the difference of two binomial probabilities and ppms (mainstream) The following applies to difference in proportions. The same principle is applied to ppms where n1 and n2 are each equal to one million and R1 and R2 are the parts per million. #### Hypothesis testing on the difference between two binomial proportions and parts per million The following applies to difference in proportions. The same principle is applied to ppms where n1 and n2 are each equal to one million and R1 and R2 are the parts per million. #### Hypothesis testing for a binomial probability and ppm (mainstream) If the sample size is small a popular option is to calculate a confidence interval using sample information. If the confidence interval covers the reference value, then the null hypothesis is accepted. #### Hypothesis testing for a binomial probability and ppm If the sample size is small a popular option is to calculate a confidence interval using sample information. If the confidence interval covers the reference value, then the null hypothesis is accepted. www.qtechinternational.com