Taylor Problem 11.8, slightly modified: A physicist uses a Geiger counter to measure the number of decays coming from a radioactive sample. During 15 separate 5-second intervals, she observes the following numbers of decays: 7, 11, 10, 7, 5, 7, 6, 12, 12, 7, 18, 12, 13, 12, 6 a. (4 pts.) Find the mean (i.e., the physicist's best estimate of the "true" value, ), the standard deviation (SD), and the standard deviation of the mean (SDOM) for these 15 measurements. What should the physicist use as her final reported value (with uncertainty) for the number of decays per 5-second interval? Show your work and/or explain the tools you used. b. (2 pts.) Since the observed number of decays should follow a Poisson distribution, estimate the standard deviation of this Poisson distribution by calculating . Use this to calculate an estimated SDOM. Using this estimated SDOM for the uncertainty, what would the final reported value become? Show your work. Briefly compare this to the final reported value in part (a). Which one should the physicist use in a final report, and why? Continued on next page: 2 3. Taylor Problem 11.10, modified: You know that the average rate of