Sir Francis Galton (1822 to 1911), one of the early developers of experimental statistics, believed everything could be measured, even boredom. His measure of boredom was a Poisson statistic, the number of signs of unrest that an individual would show per minute. Suppose a student wants to measure how boring a classmate finds the statistics class, so he counts the number of times she yawns, fidgets, looks at her watch, and so on, during 16 half-minute intervals of observation, and the total is 10. a. With regard to this survey:
i. Why must the friend be unaware that her behavior is being observed?
ii. Why can the time of observation not be for 8 consecutive minutes?
iii. Is it valid to assume that E(l) remains constant throughout the class period?
b. Place an 80% confidence interval on the number of signs of boredom she shows per minute.
c. Do you think a survey of this nature is valid? Ethical?