12. ?10 points DevoreSta:94AE 014. My Notes Ask Your Example 4.14 The 99th perce
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12. ?10 points DevoreSta:94AE 014. My Notes Ask Your Example 4.14 The 99th percentile of the standard normal distribution is that value on the horizontal axis such that the area under the z curve to the Selectof the value is table gives for fixed z the area under the standard normal curve to the left of z, whereas here we have the area and want the value of z. This is the "inverse" problem to P(Z š z)-? so the table is used in an inverse fashion: Find in the middle of the table 0.9900; the row and column in which it lies identify the 99th z percentile. Here 0.9901 lies at the intersection of the row marked 2.3 and column marked 0.03, so the 99th percentile is (approximately) z - . A standard normal curve area-9900 z curve 99th percentile Finding the 99th percentile By symmetry, the first percentile is as far below 0 as the 99th is above 0, so equals above the 99th) (1% lies below the first and also curve area0 -233 Ist percentile 23399th percentile The relationship between the 1st and 99th percentiles You may need to use the appropriate table in the Appendix of Tables to answer this question Need Help? Read Talk to a TutorExplanation / Answer
Area under the z curve to the left of value is 0.99
So, 99th Percentil = 2.33
0.01
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