A large chemistry course took their final exam. The mean was 75 with a standard deviation of 8.a) What proportion of people scored in the A range (90 or above)?b)What proportion of people failed the exam (60 or below)?Use table below and draw normal distribution 2↑↓(A)Z31.501.511.521.531.541.551.561.571.581.591.601.611.621.631.641.651.661.671.681.691.70of 4(B)Proportionin Body.9332.9345.9357.9370.9382.9394.9406.9418.9429.94419452.9463.9474.9484.9495.9505.9515.9525.9535.9545.9554(C)Proportionin Tail.0668.0655.0643.06300618.0606.0594.0582.0571.0559.0548.0537.0526.0516.0505.0495.0485.0475.0465.0455.0446-(D)ProportionBetween Mean and z.4332.4345.4357.4370.4382150%.4394.440644184429.44414452.44634474.448444954505.45154525453545454554(A)N2.002.012.022.032.042.0527062.072.082.092.102.112.122.132.142.152.162.172.182.192.20(B)Proportionin Body.9772.9778.97839788.9793.97989803.980898129817.9821.9826.983098349838.984298469850.98549857.98613(C)Proportionin Tail.02280222.0217.0212.0207.0202.0197.0192.0188.0183.0179.0174.0170.0166.0162.0158.0154.0150.0146.0143.0139(D)ProportionBetween Mean and z47724778.4783478847934798.48034808481248174821.48264830.48344838.4842.4846.485048544857.4861A 1.701.711.721.731.741.751.761.771.781.791.801.811.821.831.841.851.861.871.881.891.901.911.921.931.949554.9564.9573.9582.9591.9599.9608.9616.9625.9633.9641.9649.9656.9664.9671.9678.9686.9693.9699.9706.9713.9719.9726.9732.9738.0446.0436.0427.0418.0409.0401.0392.0384.03750367.0359.0351.0344.0336.0329.0322.0314.0307.0301.0294.0287.0281.0274.0268.0262H+ 150%4554.4564.4573.4582.4591.4599.4608.4616.4625.4633.4641.4649.4656.4664.4671.46784686.4693.4699.47064713.4719.4726473247382.202.212.222.232.242.252.262.272.282.292.302.31322.332.342.352.362.372.382.392.402.412.422.432.44.9861.9864.9868.9871.9875.9878.9881.9884.9887.9890.9893.98969898.9901.9904.9906.990999119913.9916.9918.9920.9922.9925.9927.0139.0136.0132.0129.0125.0122.0119.0116.0113.0110.0107.0104.0102.0099.0096.0094.0091.0089.0087.0084.0082.0080.0078.0075.007348614864486848714875.4878.488148844887.4890.4893.4896.4898.4901.4904.4906.49094911.4913.4916.4918.49204922.4925.4927D今日

Given: Population mean μ=75 Population standard deviation σ=8 Let X ~ N(75, 82)

Answered: A large chemistry course took their…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A large chemistry course took their final exam. The mean was 75 with a standard deviation of 8.
a) What proportion of people scored in the A range (90 or above)?
b)What proportion of people failed the exam (60 or below)?

Use table below and draw normal distribution

2↑↓
(A)
Z
3
1.50
1.51
1.52
1.53
1.54
1.55
1.56
1.57
1.58
1.59
1.60
1.61
1.62
1.63
1.64
1.65
1.66
1.67
1.68
1.69
1.70
of 4
(B)
Proportion
in Body
.9332
.9345
.9357
.9370
.9382
.9394
.9406
.9418
.9429
.9441
9452
.9463
.9474
.9484
.9495
.9505
.9515
.9525
.9535
.9545
.9554
(C)
Proportion
in Tail
.0668
.0655
.0643
.0630
0618
.0606
.0594
.0582
.0571
.0559
.0548
.0537
.0526
.0516
.0505
.0495
.0485
.0475
.0465
.0455
.0446
-
(D)
Proportion
Between Mean and z
.4332
.4345
.4357
.4370
.4382
150%
.4394
.4406
4418
4429
.4441
4452
.4463
4474
.4484
4495
4505
.4515
4525
4535
4545
4554
(A)
N
2.00
2.01
2.02
2.03
2.04
2.05
2706
2.07
2.08
2.09
2.10
2.11
2.12
2.13
2.14
2.15
2.16
2.17
2.18
2.19
2.20
(B)
Proportion
in Body
.9772
.9778
.9783
9788
.9793
.9798
9803
.9808
9812
9817
.9821
.9826
.9830
9834
9838
.9842
9846
9850
.9854
9857
.9861
3
(C)
Proportion
in Tail
.0228
0222
.0217
.0212
.0207
.0202
.0197
.0192
.0188
.0183
.0179
.0174
.0170
.0166
.0162
.0158
.0154
.0150
.0146
.0143
.0139
(D)
Proportion
Between Mean and z
4772
4778
.4783
4788
4793
4798
.4803
4808
4812
4817
4821
.4826
4830
.4834
4838
.4842
.4846
.4850
4854
4857
.4861
A

1.70
1.71
1.72
1.73
1.74
1.75
1.76
1.77
1.78
1.79
1.80
1.81
1.82
1.83
1.84
1.85
1.86
1.87
1.88
1.89
1.90
1.91
1.92
1.93
1.94
9554
.9564
.9573
.9582
.9591
.9599
.9608
.9616
.9625
.9633
.9641
.9649
.9656
.9664
.9671
.9678
.9686
.9693
.9699
.9706
.9713
.9719
.9726
.9732
.9738
.0446
.0436
.0427
.0418
.0409
.0401
.0392
.0384
.0375
0367
.0359
.0351
.0344
.0336
.0329
.0322
.0314
.0307
.0301
.0294
.0287
.0281
.0274
.0268
.0262
H
+ 150%
4554
.4564
.4573
.4582
.4591
.4599
.4608
.4616
.4625
.4633
.4641
.4649
.4656
.4664
.4671
.4678
4686
.4693
.4699
.4706
4713
.4719
.4726
4732
4738
2.20
2.21
2.22
2.23
2.24
2.25
2.26
2.27
2.28
2.29
2.30
2.31
32
2.33
2.34
2.35
2.36
2.37
2.38
2.39
2.40
2.41
2.42
2.43
2.44
.9861
.9864
.9868
.9871
.9875
.9878
.9881
.9884
.9887
.9890
.9893
.9896
9898
.9901
.9904
.9906
.9909
9911
9913
.9916
.9918
.9920
.9922
.9925
.9927
.0139
.0136
.0132
.0129
.0125
.0122
.0119
.0116
.0113
.0110
.0107
.0104
.0102
.0099
.0096
.0094
.0091
.0089
.0087
.0084
.0082
.0080
.0078
.0075
.0073
4861
4864
4868
4871
4875
.4878
.4881
4884
4887
.4890
.4893
.4896
.4898
.4901
.4904
.4906
.4909
4911
.4913
.4916
.4918
.4920
4922
.4925
.4927
D
今日

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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