Tofacilitatehypothesistesting,

three of these tissue samples are taken from the lungs of healthy volunteers, and the other three are from distinct individuals believed to be suffering from similar strains of lung cancer. The following null and alternative hypotheses were used in the picture 2

Question1: Outofthesethreegenes,thegenewiththelargest(absolute)di erenceinaverageactivitylevelswasthegeneinthesecondrow.Thehypothesistestfor this gene did not, however, achieve the lowestp-value.Making use of the informationavailableelsewhereinthespreadsheet,proposeanexplanationforwhythisgenedidnotachieve the smallestp-value.

Question 2: Use the Bonferroni correction to determine an alternative-value

threshold that will control the family-wise error rate for these three tests at 0:05.Identify which genes, if any, show statistically significant differences using this threshold.What is the probability that one-or-more of the genes below this threshold are the result of false positive

GENE NAME HEALTHY_SAMPLE_1 HEALTHY_SAMPLE_2 HEALTHY_SAMPLE_3 Gene26 207.16 201.27 214.23 Gene1 154.01 162.38 152.39 Gene17 278.08 267.81 296.51Ho : Hhealthy = Pdiseased Ha : Phealthy Idiseased