A group of experimenters makes the following claim: We measured the number of co

Question

A group of experimenters makes the following claim: We measured the number of counts in 20 seconds from a radioactive source using a Geiger counter, we repeated the measurements 5 times. We found that the average number of counts is 570 with a standard deviation of 23. Based on what you studied in Section 2 of the lab, which statement is correct? The number of courts and the standard deviation are consistent with each other according Poisson statistics. The claim is probably correct. The average number of counts is inconsistent with the standard deviation according to Poisson statistics. Because the number of measurements is low, there may be clustering effects that make the experimental standard deviation unreliable. Thus, the claim is probably correct. The average number of counts is inconsistent with the standard deviation according to Poisson statistics. Clustering effects should be negligible. The is probably incorrect. The numbers presented cannot possibly be correct. The experimenters have made a mistake.

Explanation / Answer

mean count is 570

standard deviation is 23

so variance=232=529

according to Poisson statistics mean=variance

but here mean>variance

so the correct option is option c

the average number of counts is inconsistent with the standard deviation according to Poisson statistics. Clustering effects should be negligible. the claim is probably incorrect

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