A study of sizes of metastatic carcinoid tumors in the heart was conducted by U. Pandya et al. and published as the article, "Metastatic Carcinoid Tumor to the Heart: Echocardiographic-Pathologic Study of 11 Patients". Based on that study, we assume that lengths of metastatic carcinoid tumors in the heart are normally distributed with mean 1.8 cm and standard deviation 0.5 cm
How large could a tumor grow before a researcher might consider it to be an outlier and would want to double check the measurement.
Suppose a tumor had a length which was in the lower 15% of all metastatic carcinoid tumors. At most, how large could it have been?
95.44% of all metastatic carcinoid tumors have lengths between ______ and _____.