Define: a) 95%th percentile of the S distribution using the normal approximation b) 95%th percentile of the S distribution using the lognormal approach
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Q: The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year…
A: Solution: Let X be the undergraduate grade point averages of students taking an admissions test in a…
Q: The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year…
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- 2Find the z-score such that: (a) The area under the standard normal curve to its left is 0.5699z = (b) The area under the standard normal curve to its left is 0.742z = (c) The area under the standard normal curve to its right is 0.1525z = (d) The area under the standard normal curve to its right is 0.3269z =Answe part d and e
- A normal distribution has a mean of=100 with a SD= 20 . If one score is randomly selected from this distribution. What is the probability that the score will have a value between X=100 and X=130? NOTE: Using the z-score table attachedThe 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? u= 3.24 lo=0.18 2.48 3.24 Grade point average (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.)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? u= 3.22 \야 0.18| 2.44 Grade point average 3.22 (a) The minimum UGPA that would still place a student in the top 5% of UGPAS is (Round to two decimal places as needed.) Video Textbook Print Clear all Check answer
- The per capita energy consumption level (in kilowatt-hours) in a certain country for a recent year can be approximated by a normal distribution, as shown in the figure. (a) What consumption level represents the 5th percentile? (b) What consumption level represents the 22nd percentile? (c) What consumption level represents the third quartile? u= 2309 kWh o = 571.7 kWh E 309 2309 4309 Kilowatt-hours (a) The consumption level that represents the 5th percentile is kilowatt-hours. (Round to the nearest integer as needed.) (b) The consumption level that represents the 22nd percentile is kilowatt-hours. (Round to the nearest integer as needed.) (c) The consumption level that represents the third quartile is kilowatt-hours. (Round to the nearest integer as needed.)The test scores for the analytical writing section of a particular standardized test can be approximated by a normal distribution, as shown in the figure. (a) What is the maximum score that can be in the bottom 5% of scores? (b) Between what two values does the middle 90% of scores lie? µ = 3.7 o = 0.87 1.4 3.7 6. Score -co6(5)
- The test scores for the analytical writing section of a particular standardized test can be approximated by a normal distribution, as shown in the figure. (a) What is the maximum score that can be in the bottom 20% of scores? (b) Between what two values does the middle 60% of scores lie? µ = 3.3 o = 0.92 0.6 3.3 6. Score (a) The maximum score that can be in the bottom 20% is (Round to two decimal places as needed.)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 15% of UGPAS? (b) Between what two values does the middle 50% of the UGPAS lie? 2.48 3.24 Grade point average (a) The minimum UGPA that would still place a student in the top 15% of UGPAs is 3.41. (Round to two decimal places as needed.) H=3.24 0.16 (b) The middle 50% of UGPAS lies between on the low end and on the high end. (Round to two decimal places as needed.) Q GQuality control at a soda bottler suspects that the variance in the mean volume of bottles of soda being filled by the bottler is intolerably high. In a sample of 14 bottles, the sample variance is 1.5 ml. Use this sample to test Ho: o? = 1.2 against H:0? > 1.2 at a = 0.05. a) Find the critical value or values for this test. b) Find the value of the test statistic. c) Give your decision in terms of the null hypothesis.