How strong should you build a nuclear reactor? You need it to withstand earthquakes, but there is a budget to consider. You claim that the mean number of high magnitude earthquakes per year is 1 or fewer so there is no need to make the nuclear reactor strong enough to withstand high magnitude earthquakes. In fact, you claim that the risk of having any earthquake at all in one particular area is very low. (your sample data from 36 random areas, shows a mean of 1.25 earthquakes with a standard deviation of 1.02 earthquakes) Use a Hypothesis test to test the claim at the .05 and .10 levels of significance. (Assume population is normal, that the random and independent conditions are met

#1 Write out all your work on paper, including your hypotheses, your test statistic, picture of the distribution with rejection regions, your decision and your conclusion. (Please try to keep it to one page or less)

#2 At the bottom of the page give your recommendation for how strong you think you should build the nuclear reactor