A new post-surgical treatment is being compared with a standard treatment. Seven subjects receive the new treatment, while seven others (the controls) receive the standard treatment. The recovery times, in days, are given below. Treatment: 12 13 15 19 20 21 24 Control: 18 23 24 30 32 35 39 Find a 98% confidence interval for the difference in the mean recovery times between treatment and control.

STAT-5615: Statistics in Research I Lecture 11 ANOVA Ott & Longnecker Ch 8 Dr. Christian Lucero Virginia Tech Fall 2016 ANOVA - Analysis of Variance Despite it’s name, the Analysis of Variance is a very useful method that can be used for many di▯erent statistical analyses. The most important way that we will use it is to compare the means of many independent samples simultaneously. Main Ideas Suppose we have multiple populations that we want to compare a possible null is H 0 m 1 = m 2= ▯▯▯ = mt where t is the total number of population groups. The alternative is that at least one mean di▯ers, i.e. H A m m 6= mn for some m