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ID: 3327161 • Letter: I

Question

i Chrome File Edit View History Bookmarks People Window Help 'l: / Quizzes & Tests 37% C%). Thu Dec 28 1:20:42 PM a E xG google Google Search ClA Securehttps:/www.google.com/search2g google&oq; google8aqs chrome.0.0j69160j04.2932j0j78sourceid chromeie UTF-8 Did you mean to go to http://aooaler? Gooale google All News Videos Maps Images More Settings Tools About 11,790,000,000 results (0.51 seconds) Find the indicated z-scores shown in the graph. 0.4728 0.4728 The z-scores are (Use a comma to separate answers as needed. Round to two decimal places as needed.) Enter 28

Explanation / Answer

The area under the 2 parts of the curve around mean are 0.4726 each, as shown.

We need to find the z-score corresponding to these values.

We assume a standard normal distribution with mean 0, as shown and standard deviation =1

Area under to the curve under the left tail (unshaded) part = 0.5 -0.4726 = 0.0274

From a standard normal table, this corresponds to a z-score of -1.92

The total area on the left half of the curve and the shaded portion on the right equal 0.5+ 0.4726 =0.9726

From a standard normal table, this corresponds to a z-score of 1.92

So the two z-scores are -1.92, +1.92

Please rate if you are satisfied.