QuestionUse the Grubbs test to check if $0.1189$ is an outlier in the data set $0.1123, 0.1087, 0.1139, 0.1112, 0.1189$ at $95\%$ confidence. Show your calculations.

Studdy Solution
Since the calculated Grubbs test statistic (.6389) is less than the critical value (.71), we cannot reject the null hypothesis that there are no outliers in the data set at the $95\%$ confidence limit. Therefore, the fifth determination ($0.1189$) cannot be discarded on the basis of the Grubbs test at the $95\%$ confidence limit.