The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be approximated by a normal distribution, as shown in the figure. (a) What is the minimum UGPA that would still place a student in the top 10% of UGPAs? (b) Between what two values does the middle 50% of the UGPAs lie? ? = 3.26 ? = 0.15 2.52 3.26 4 Grade point average x (a) The minimum UGPA that would still place a student in the top 10% of UGPAs is [ ]. (Round to two decimal places as needed.) (b) The middle 50% of UGPAs lies between [ ] on the low end and [ ] on the high end. (Round to two decimal places as needed.)
Added by Mireia C.
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In a normal distribution, the top 10% corresponds to a z-score of approximately 1.28. If we know the mean and standard deviation of the UGPA distribution, we can calculate this value. However, without this information, we cannot provide a specific UGPA. Show more…
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The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be approximated by a normal distribution,as shown in the figure. (a) What is the minimum UGPA that would still place a student in the top 5% of UGPAs? (b) Between what two values does the middle 50% of the UGPAs lie? mu equals 3.30 sigma equals 0.21 A normal curve labeled mu = 3.30 and sigma = 0.21 is over a horizontal x-axis labeled Grade point average from 2.6 to 4 in increments of 0.35 and is centered on 3.30. (a) The minimum UGPA that would still place a student in the top 5% of UGPAs is
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