a) Determine which amounts of postage can be formed using just 4-cent and 11 -cent stamps.b) Prove your answer to (a) using the principle of mathematical induction. Be sure to state explicitly your inductive hypothesis in the inductive step.c) Prove your answer to (a) using strong induction. How does the inductive hypothesis in this proof differ from that in the inductive hypothesis for a proof using mathematical induction?

STAT 2004 WEEK 12 Statistical hypotheses- Research questions we wish to test using statistical evidence. o Ex: It’s always windy in Blacksburg. Suppose W represents wind speed in the US. W ~N(7,3) US US Null hypothesis- Blacksburg7 mph Alternative hypothesis- Blacksburg mph o The alternative hypothesis is what you think the truth is. The null hypothesis always includes an equal sign. Writing hypotheses: o Make alternative based on what you want to show. o Make null the opposite. Making a non 95% confidence interval: o Determine what the leftover or alpha level is o Determi