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Question Completion Status: > Moving to another question will save this response. Question 8 In a town the female monsters have a mean height of 188 cm and a standard deviation of 11.2 cm. What is the shortest height that represents the top 20% of monster heights? Do not round the answe Hint: think about what is to the left of 20% Remember: I am looking for an actual height. Please show work for potential partial credit. For the toolbar, press ALT+F10 (PC) or ALT FN+F10 (Mac). 80- 805 188+.805 11.2)-197.016 Type here to search oe

Explanation / Answer

µ = 188

= 11.2

We need to find the z-score corresponding to an "area under the curve" of 0.80 (1.00 - 0.20).

By looking up the table, the value is 0.84

Thus z = (x µ )/ = (x - 188) / 11.2 = 0.84

x = 188 + (11.2 * 0.84) = 197.408

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