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# Standard Deviation and Expected Value

You are in charge of an experiment to evaluate a treatment which is advertised as being 90% effective at killing a particular insect. You plan an experiment in which the treatment is tested on 200 insects.

a. If the advertising is accurate, what is the expected value and standard deviation of the number of insects that ought to be killed in this experiment?

b. If the experiment resulted in 173 insects (of the 200) being killed by the treatment, would you be suspicious of the advertising claim? Explain briefly (a sentence or two at most) why or why not.

#### Solution Preview

You are in charge of an experiment to evaluate a treatment which is advertised as being 90% effective at killing a particular insect. You plan an experiment in which the treatment is tested on 200 insects.

a. If the advertising is accurate, what is the expected value and standard deviation of ...

#### Solution Summary

This Solution contains calculations to aid you in understanding the Solution to this question.

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