Homework Help is Here – Start Your Trial Now!
Math
Statistics
Evaluation: Find the area under the normal curve in each of the following cases: 1. Between z = 0 and z = -2.12 2. Between z = 1.25 and z = 2.3 3. Between z = -0.46 and z= -2.15

Evaluation: Find the area under the normal curve in each of the following cases: 1. Between z = 0 and z = -2.12 2. Between z = 1.25 and z = 2.3 3. Between z = -0.46 and z= -2.15

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter1: Variables, Expressions, And Integers
Section1.5: Adding Integers
Problem 45E
See similar textbooks
icon
Related questions
Question
NOTE: PLEASE SKETCH
Areas Under the One-Tailed Standard Normal Curve This table provides the area between the mean and some Z score. 0=1 For example, when Z score=1.45 the area = 0.4265. 0.4265 Z Z 0.00 0.01 0.02 0.06 0.09 0.05 0.0199 0.0239 0.0000 0.0040 0.0359 0.0080 0.0478 0.0517 0.0398 0.0438 0.03 0.04 0.0120 0.0160 0.0557 0.0948 0.0987 0.1026 0.1331 0.0596 0.0636 0.0753 0.0793 0.0832 0.0871 0.0910 0.1103 0.1141 0.1179 0.1217 0.1255 0.1293 0.1064 0.1368 0.1406 0.1443 0.1808 0.1480 0.1517 0.1554 0.1591 0.1628 0.1664 0.1700 0.1736 0.1772 0.1844 0.1879 0.1915 0.1950 0.1985 0.2019 0.2054 0.2088 0.2123 0.2157 0.2190 0.2224 0.2257 0.2291 0.2324 0.2357 0.2454 0.2486 0.2517 0.2549 0.2580 0.2611 0.2642 0.2673 0.2704 0.2764 0.2794 0.2823 0.2852 0.2734 0.3023 0.3051 0.3078 0.3106 0.2881 0.2910 0.2939 0.2967 0.2995 0.3133 0.3159 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3340 0.3365 0.3389 0.3413 0.3438 0.3508 0.3554 0.3577 0.3599 0.3621 0.3643 0.3665 0.3686 0.3790 0.3810 0.3830 0.3708 0.3729 0.3907 0.3925 0.4082 0.4099 0.3531 0.3749 0.3770 0.3944 0.3962 0.4115 0.4131 0.3980 0.3997 0.4015 0.4147 0.4162 0.4177 0.3849 0.3869 0.3888 0.4032 0.4049 0.4066 0.4192 0.4207 0.4222 0.4332 0.4345 0.4357 0.4452 0.4463 0.4474 0.4484 0.4495 0.4236 0.4251 0.4292 0.4306 0.4319 0.4265 0.4279 0.4394 0.4406 0.4370 0.4382 0.4418 0.4429 0.4441 0.4505 0.4515 0.4525 0.4535 0.4545 0.4582 0.4591 0.4599 0.4608 0.4641 0.4649 0.4671 0.4678 0.4686 0.4554 0.4564 0.4573 0.4656 0.4664 0.4719 0.4726 0.4732 0.4772 0.4778 0.4783 0.4788 0.4616 0.4625 0.4633 0.4693 0.4699 0.4706 0.4744 0.4750 0.4756 0.4761 0.4713 0.4767 0.4817 0.4857 0.4830 0.4834 0.4868 0.4871 0.4881 0.4884 0.4887 0.4890 0.4916 0.4909 0.4911 0.4913 0.4931 0.4932 0.4934 0.4918 0.4920 0.4936 0.4948 0.4949 0.4951 0.4952 0.4738 0.4793 0.4798 0.4803 0.4808 0.4812 0.4821 0.4826 0.4838 0.4842 0.4846 0.4850 0.4854 0.4861 0.4864 0.4875 0.4878 0.4893 0.4896 0.4898 0.4901 0.4904 0.4906 0.4922 0.4925 0.4927 0.4929 0.4938 0.4940 0.4941 0.4943 0.4945 0.4946 0.4953 0.4955 0.4956 0.4957 0.4959 0.4960 0.4965 0.4966 0.4967 0.4968 0.4969 0.4974 0.4975 0.4976 0.4977 0.4977 0.4981 0.4981 0.4982 0.4982 0.4983 0.4984 0.4985 0.4986 0.4986 0.4987 0.4987 0.4987 0.4988 0.4988 0.4989 0.4989 0.4989 0.4990 0.4990 0.4990 0.4991 0.4991 0.4991 0.4992 0.4992 0.4992 0.4992 0.4993 0.4993 0.4993 0.4993 0.4994 0.4994 0.4994 0.4994 0.4994 0.4995 0.4995 0.4995 0.4995 0.4995 0.4996 0.4996 0.4996 0.4996 0.4996 0.4996 0.4997 0.4997 0.4997 0.4997 0.4998 0.4998 0.4998 0.4998 0.4961 0.4970 0.4971 0.4962 0.4963 0.4964 0.4974 0.4972 0.4973 0.4979 0.4980 0.4978 0.4979 0.4984 0.4985 0.4995 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.4999 0.4999 0.4999 0.4999 0.4999 0.5000 0.5000 0.5000 0.5000 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.1 3.2 3.4 3.5 3.6 3.7 3.8 3.9 0.3461 0.3485 0.2389 0.2422 H=0 1.45 0.07 0.08 0.0279 0.0319 0.0675 0.0714 Jalale
Transcribed Image Text:Areas Under the One-Tailed Standard Normal Curve This table provides the area between the mean and some Z score. 0=1 For example, when Z score=1.45 the area = 0.4265. 0.4265 Z Z 0.00 0.01 0.02 0.06 0.09 0.05 0.0199 0.0239 0.0000 0.0040 0.0359 0.0080 0.0478 0.0517 0.0398 0.0438 0.03 0.04 0.0120 0.0160 0.0557 0.0948 0.0987 0.1026 0.1331 0.0596 0.0636 0.0753 0.0793 0.0832 0.0871 0.0910 0.1103 0.1141 0.1179 0.1217 0.1255 0.1293 0.1064 0.1368 0.1406 0.1443 0.1808 0.1480 0.1517 0.1554 0.1591 0.1628 0.1664 0.1700 0.1736 0.1772 0.1844 0.1879 0.1915 0.1950 0.1985 0.2019 0.2054 0.2088 0.2123 0.2157 0.2190 0.2224 0.2257 0.2291 0.2324 0.2357 0.2454 0.2486 0.2517 0.2549 0.2580 0.2611 0.2642 0.2673 0.2704 0.2764 0.2794 0.2823 0.2852 0.2734 0.3023 0.3051 0.3078 0.3106 0.2881 0.2910 0.2939 0.2967 0.2995 0.3133 0.3159 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3340 0.3365 0.3389 0.3413 0.3438 0.3508 0.3554 0.3577 0.3599 0.3621 0.3643 0.3665 0.3686 0.3790 0.3810 0.3830 0.3708 0.3729 0.3907 0.3925 0.4082 0.4099 0.3531 0.3749 0.3770 0.3944 0.3962 0.4115 0.4131 0.3980 0.3997 0.4015 0.4147 0.4162 0.4177 0.3849 0.3869 0.3888 0.4032 0.4049 0.4066 0.4192 0.4207 0.4222 0.4332 0.4345 0.4357 0.4452 0.4463 0.4474 0.4484 0.4495 0.4236 0.4251 0.4292 0.4306 0.4319 0.4265 0.4279 0.4394 0.4406 0.4370 0.4382 0.4418 0.4429 0.4441 0.4505 0.4515 0.4525 0.4535 0.4545 0.4582 0.4591 0.4599 0.4608 0.4641 0.4649 0.4671 0.4678 0.4686 0.4554 0.4564 0.4573 0.4656 0.4664 0.4719 0.4726 0.4732 0.4772 0.4778 0.4783 0.4788 0.4616 0.4625 0.4633 0.4693 0.4699 0.4706 0.4744 0.4750 0.4756 0.4761 0.4713 0.4767 0.4817 0.4857 0.4830 0.4834 0.4868 0.4871 0.4881 0.4884 0.4887 0.4890 0.4916 0.4909 0.4911 0.4913 0.4931 0.4932 0.4934 0.4918 0.4920 0.4936 0.4948 0.4949 0.4951 0.4952 0.4738 0.4793 0.4798 0.4803 0.4808 0.4812 0.4821 0.4826 0.4838 0.4842 0.4846 0.4850 0.4854 0.4861 0.4864 0.4875 0.4878 0.4893 0.4896 0.4898 0.4901 0.4904 0.4906 0.4922 0.4925 0.4927 0.4929 0.4938 0.4940 0.4941 0.4943 0.4945 0.4946 0.4953 0.4955 0.4956 0.4957 0.4959 0.4960 0.4965 0.4966 0.4967 0.4968 0.4969 0.4974 0.4975 0.4976 0.4977 0.4977 0.4981 0.4981 0.4982 0.4982 0.4983 0.4984 0.4985 0.4986 0.4986 0.4987 0.4987 0.4987 0.4988 0.4988 0.4989 0.4989 0.4989 0.4990 0.4990 0.4990 0.4991 0.4991 0.4991 0.4992 0.4992 0.4992 0.4992 0.4993 0.4993 0.4993 0.4993 0.4994 0.4994 0.4994 0.4994 0.4994 0.4995 0.4995 0.4995 0.4995 0.4995 0.4996 0.4996 0.4996 0.4996 0.4996 0.4996 0.4997 0.4997 0.4997 0.4997 0.4998 0.4998 0.4998 0.4998 0.4961 0.4970 0.4971 0.4962 0.4963 0.4964 0.4974 0.4972 0.4973 0.4979 0.4980 0.4978 0.4979 0.4984 0.4985 0.4995 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.4999 0.4999 0.4999 0.4999 0.4999 0.5000 0.5000 0.5000 0.5000 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.1 3.2 3.4 3.5 3.6 3.7 3.8 3.9 0.3461 0.3485 0.2389 0.2422 H=0 1.45 0.07 0.08 0.0279 0.0319 0.0675 0.0714 Jalale
11:32 Since z = -1.65 is negative, the area is located to the left of z = 0. The same table will be used to find the area to the left of z = 0 since the area to the left of z = 0 is positive. Step 5. Locate the area for z = -1.65 from the table. Proceed down the column marked z until you reach 1.6. Disregard the negative sign (-). Then proceed to the right along this row until you reach the column marked 0.05. The intersection of the row and the column marked 0.05 is the area. Hence, the area is 0.4505. Example 5. Find the area between z = -1.35 and z = 2.35. Solution: Step 1. Sketch the normal curve. A₁ A₂ -1.35 Step 2. Let A = area between z = -1.35 and z = 2.35 A₁ = area between z = 0 and z = -1.35 A = area between z = 0 and z = 2.35 From the table, A₁ = 0.4114 A₂ = 0.4906 A = A₁ + A₂ = 0.4114 +0.4906 A = 0.902 Hence, the area between z = -1.35 and z = 2.35 is 0.902. A1 2.35 Example 6. Find the area to the left of z= 2.32. Solution: Step 1. Sketch the normal curve. Step 2. Let A = area to the left of z = 2.32 A₁ = area of half of the curve A₂ = area between z = 0 and z = 2.32 From the table, A₂ = 0.4898 A = A₁ + A₂ = 0.5 +0.4898 A= 0.9898 Hence, the area to the left of z = 2.32 is 0.9898. Evaluation: Find the area under the normal curve in each of the following cases: 1. Between z = 0 and z = -2.12 2. Between z = 1.25 and z = 2.3 3. Between z = -0.46 and z = -2.15 4. To the right of z = -1.35 5. To the left of z=-1.35 BIU뵤 І A Az !!! 2.32 ||| || ...
Transcribed Image Text:11:32 Since z = -1.65 is negative, the area is located to the left of z = 0. The same table will be used to find the area to the left of z = 0 since the area to the left of z = 0 is positive. Step 5. Locate the area for z = -1.65 from the table. Proceed down the column marked z until you reach 1.6. Disregard the negative sign (-). Then proceed to the right along this row until you reach the column marked 0.05. The intersection of the row and the column marked 0.05 is the area. Hence, the area is 0.4505. Example 5. Find the area between z = -1.35 and z = 2.35. Solution: Step 1. Sketch the normal curve. A₁ A₂ -1.35 Step 2. Let A = area between z = -1.35 and z = 2.35 A₁ = area between z = 0 and z = -1.35 A = area between z = 0 and z = 2.35 From the table, A₁ = 0.4114 A₂ = 0.4906 A = A₁ + A₂ = 0.4114 +0.4906 A = 0.902 Hence, the area between z = -1.35 and z = 2.35 is 0.902. A1 2.35 Example 6. Find the area to the left of z= 2.32. Solution: Step 1. Sketch the normal curve. Step 2. Let A = area to the left of z = 2.32 A₁ = area of half of the curve A₂ = area between z = 0 and z = 2.32 From the table, A₂ = 0.4898 A = A₁ + A₂ = 0.5 +0.4898 A= 0.9898 Hence, the area to the left of z = 2.32 is 0.9898. Evaluation: Find the area under the normal curve in each of the following cases: 1. Between z = 0 and z = -2.12 2. Between z = 1.25 and z = 2.3 3. Between z = -0.46 and z = -2.15 4. To the right of z = -1.35 5. To the left of z=-1.35 BIU뵤 І A Az !!! 2.32 ||| || ...
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
PREALGEBRA
PREALGEBRA
Algebra
ISBN:
9781938168994
Author:
OpenStax
Publisher:
OpenStax
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
SEE MORE TEXTBOOKS