**In a double-blind placebo-controlled randomised trial of the effect of a Herbal Remedy on the nasal/respiratory condition known as Rhinitis, a measure of severity of the Rhinitis was taken one week before and one month after treatment. The primary question of interest is to determine whether or not the Herbal Remedy improves Rhinitis’ patients more than any such improvement on the Placebo in the population in question. Use the relevant output below to answer the following questions.**

**1. Use the relevant interval estimate and p-value to answer the primary question of interest.**

The relevant interval estimate is from the ‘’Two-Sample T-Test and CI: Improvement, Group’’. The difference between the mean improvements between the Herbal and Placebo group is 9.35, which is significant. Since the 95% CI for the difference in the improvements doesn’t contain zero, it can be concluded that the Herbal group does significantly improve in severity on average from the placebo group. The p-value is also less than 0.05, therefore we can reject the null hypothesis.

**2. Provide an interpretation of the Tolerance Intervals provided:**

The improvements in both Herbal and Placebo treatment groups are not significant as their tolerance intervals contain zero.

**3. Does an analysis based on the simple differences in severity look justified? Explain why or why not:**

No it does not look justified as based on the numerical and graphical summaries there was an improvement but these improvements are not statistically significant based on their tolerance intervals.