Stat 301 Statistics 1 Probability and Simulation Last

Stat 301 – Statistics 1 Probability and Simulation

Last Time – Effective graphs? n n Well-labeled Stands on its own Tells a story Quick and accurate comparisons

n Elite male heavyweight rowers tend to be well over six feet tall—up to about 6’ 6” and even 6’ 8”—and from 190 to 230 pounds or so. They’re lean-muscled, not usually bulky. Lightweight men are also tall, but must be 72. 5 kg (160 pounds) or less at weigh-in for Olympic competition, and the crew must average no more than 70 kg (154 lbs).

Last Time – Addressing a research question n Accessing the data What is the best data to look at (e. g. , percentage change)? What are the best comparisons to make (e. g. , previous years, natural variability)?

Last Time – Distribution of a variable n n n What is the overall pattern to the variable (e. g. , shape, center, variability)? Does the pattern make sense? Are there exceptions to the pattern? Identify them. Can you explain them? 1973

Quiz 1 n Which is the best among these graphs for analyzing the distribution of calories in different Chinese dishes

Quiz 1 n n Which city tended to have the highest temperatures? Which city had the most variability (largest standard deviation)?

More Practice n n Which has the largest standard deviation? Which has the smallest standard deviation?

Investigation B (p. 12)

Key Ideas n By “probability” we mean the long-run relative frequency of times an event occurs q q q P(roll “snake eyes”) . 03: If I repeatedly roll dice under identical conditions, in the long run I should roll (1, 1) about 3% of the time We can approximate a probability by simulating the random phenomenon a large number of times Often we can use probability rules to calculate an exact probability

To Do for Wednesday n n Finish Investigation B Quiz 2 q n Including introduction to Investigation 1. 1 (p. 20 or within quiz) and watch videos (within quiz) Continue HW 1