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Quiz 6.1 to 6.3 1.Find the area under the standard normal distribution curve for each. Sketch the bell curve. Normcdf () a. Between z = 0 and z = 1.95 b. Between z = 0 and z = 0.37 c. Between z = 1.32 and z = 0.37 d. Between z = -1.05 and z = 2.05 e. Between z = -0.03 and z = 0.53 f. Between z = 1.10 and z = -1.80 g. 97.26% of the area under the distribution curve lies to the left of it. b. 55.96% of the area under the distribution curve lies to the left of it. 4. Find the z value to left of the mean so that. a. 90.49% of the area under the distribution curve lies to the right of it. b. 60.35% of the area under the distribution curve lies to the right of it Chapter 6 Page 63 21. Find the area under the standard normal distribution curve between z =0 and z =−2.16. A) –2.1600 B) 0.9846 C) 0.4846 D) 0.3708 Ans: C Difficulty: Easy Section: 6.1 22. Find the z value to the right of the mean so that 62.93% of the area under the distribution curve lies to the left of it. A) z B) P(X) C) m D) s 2 Ans: A Difficulty: Easy Section: 6.1 16. The area under the normal distribution curve that lies within three standard deviations of the mean is approximately 95%. Ans: False Difficulty: Easy Section: 6.1 17. Answer by Sean2236. Confidence votes 3.7K. The area under the normal distribution curve represents the probability of an event occurring that is normally distributed. So, the area under the entire normal distribution curve must be 1 (equal to 100%). For example, if the mean (average) male height is 5'10 then there is a 50% chance that a randomly selected male will have a height that is below or exactly 5'10. This is because the area under the normal curve from the left hand side up to the mean consists of half of the entire area of the normal curve. False. A normalized distribution curve (do not confuse normalized with normal), by definition, has an area under the curve of exactly 1. That is because the probability of al … l possible events is also always The total area under the normal curve is equal to 1 2. the distribution is mounded and symmetric; it extends indefinitely in both directions, approaching but never touching the horizontal axis 3. the distribution has a mean of 0 and a standard distribution of 1 4. the mean divides the area in half, .50 on each side 5.  1 x is normally ditsributed with a mean of 500 and a standard deviation of 100. 2  The total area under the normal curve represents the total number of students who took the test. 3  If we multiply the values of the areas under the curve by 100, we obtain percentages. 4  For x = 585, z = (585 - 500) / 100 = 0.85. 1 For a certain type of computers, the length of time bewteen charges of the battery is normally distributed with a mean of 50 hours and a standard deviation of 15 hours. 2  John owns one of these computers and wants to know the probability that the length of time will be between 50 and 70 hours. Chapter 6 Page 62 15. The number of standard deviations a particular X value is from the mean is commonly referred to as ________. A) z B) P(X) C) m D) s 2 Ans: A Difficulty: Easy Section: 6.1 16. The area under the normal distribution curve that lies within three standard deviations of the mean is approximately 95%. Ans: False Difficulty: Easy Section: 6.1 17. 1 c. 2  For the standard normal distribution, it is impossible to have a z value of 10.8. 3  d. A normal distribution can always be used to accurately approximate a binomial probability value. 4  The test scores of 600 students are normally distributed with a mean of 76 and a standard deviation of 8. 1 For the standard normal distribution, it is impossible to have a z value of 10.8. 2  d. A normal distribution can always be used to accurately approximate a binomial probability value. 3 4. Find the area under the standard normal curve that lies to the left of Z = 1.645. Finally, an advantage of using technology is that finding the area under a normal curve is not restricted to the standard normal curve. 5. Using Table A Example: Find the Z-score that corresponds to an area of 0.9050 under the standard normal curve to the left of the Z-score. When searching the array of values, the closes one we see is .9049. This value is in the row of 1.3 and the column of .01. Thus, the Z-score is 1.31. Corresponding to a measurement value of z = 1.18 is an area of 0.8810. This is exactly the answer to the question! Notice that it agrees with the picture as well as the original guess.. For any value z the table supplies the area under the curve over the region to the left of z. Again, area = relative frequency. For a standard normal variable the relative frequency of observations falling below 1.18 is 0.8810. 
http://www.pkwy.k12.mo.us/homepage/dmcneal/File/Statistics/2nd_sem_Unit_5/Quiz_6.1_to_6.3_review.pdf http://www.mksam.com/up/do.php?downf=13270141431.pdf http://www.answers.com/Q/What_is_the_total_area_under_the_normal_distribution_curve https://quizlet.com/7639275/elementary-statistics-chapter-6-flash-cards/ http://www.analyzemath.com/statistics/normal_distribution.html http://www.mksam.com/up/do.php?downf=13270141431.pdf http://faculty.frostburg.edu/math/monline/stat/stat_4.html http://www.unco.edu/nhs/mathsci/facstaff/Powers/M550/ContinuousDistributions/pdf/7.2.1%20Finding%20Areas%20under%20the%20Standard%20Normal%20Curve.pdf http://www.oswego.edu/~srp/stats/z.htm
what is the total area under the normal curve quiz