Echinacea Treatment In a study designed to test the effectiveness of echinacea for treating upper respiratory tract infections in children, 337 children were treated with echinaceaand 370 other children were given a placebo. The numbers of days of peak severity ofsymptoms for the echinacea treatment group had a mean of 6.0 days and a standard deviation of2.3 days. The numbers of days of peak severity of symptoms for the placebo group had amean of 6.1 days and a standard deviation of 2.4 days.

• Construct the 95% confidence interval for the mean number of days of peak severity of symptoms for those who receive echinacea treatment.
• Construct the 95% confidence interval for the mean number of days of peak severity of symptoms for those who are given a placebo.
• Compare the two confidence intervals. What do the results suggest about the effectiveness of echinacea?