Descriptive Statistics help with the explanation

7"] (9 more.\" The Frito-Lay's potato slicing machine cuts raw potatoes into slices ready to be make into potato chips. There is inevitably some variation in the thickness of the slices. Acceptable slices are between 0.030 and 0.042 inches thick. If the distribution of thickness has mean 0.036 inches and standard deviation 0.002 inches: a} What is the z-score {standard score) of the thinnest acceptable slice (0.030 inches}? What is the z-score of the thickest acceptable slice? b} What does Chebysheif s theorem tell you about the percentage of slices that will be acceptable (that is, between 0.030 and 0.042 inches}? Show how you reached your answer. c} For what kind of distribution is the Empin'cal Rule valid? Do you think the distribution of thicknesses in this situation would make it reasonable to use the Empirical Rule? Explain briey. d} Assuming you can use the Empirical Rule, what does that tell you about the percentage of potato slices that will be acceptable? 6) (10 points) Tornadoes Following are the numbers of people killed by tornadoes in the United States for each year from 1991 through 2000. (Also on sheet Tornadoes in the data workbook) 39 39 33 69 30 25 67 130 94 40 a) Give the median, mean and mode. Show how you reach your answers. () Median ii) Mean iii) Mode b) A student calculated the standard deviation for the tornado data given above but got confused where to put the decimal point. Which one of these must be the right answer? .337 deaths 3.37 deaths 33.7 deaths 337 deaths ii) Explain how a person could eliminate the other three options, without actually calculating the standard deviation exactly