A simple random sample of size n is drawn. The sample mean, is found to be 18.9, and the sample standard deviation, is found to be 4.1. Construct a 95% confidence interval about mean if the sample size, n, is 34.lower bound:__ upper bound:__(use ascending order. Round to two decimal places as needed.) 1.3031.6842.0212.1232.4232.7042.9713.3073.551400.6810.8511.0503.2613.2323.2113.1953.1833.4963.4603.4353.4163.4022.6782.6601.299 1.6761.6711.6672.0092.0001.9941.9901.9872.1092.0992.0932.0882.0842.4032.3902.3812.3742.3682.9372.9152.8992.88750 0.6790.8491.0471.0451.044 1.2941.0431.042600.6790.8481.29670 0.678 0.84780 0.678901.6641.6622.6482.6392.6320.8461.2922.8780.6770.8461.2912.3642.3302.3262.6262.5812.5762.8712.8132.8073.1743.0983.0903.3903.3003.2912.0811.0421.0371.0361.2901.2821.2821.6601.6461.6451.9841.9621.9601000.6770.8452.0562.0540.8420.6750.67410000.8420.100.050.0250.020.010.0050.00250.0010.0005df0.250.200.15Area in Right Tail Area inright tailTable VIt-DistributionArea in Right Taildf0.250.200.150.100.050.0250.020.010.0050.00250.0010.00051 1.000 T.376 1.963 3.0782 0.816 1.061 1.386 1.886(0.765 0.9784 0.741 0.941 1.190 1.533 2.1325 0.727 0.9206.3142.92012.70615.8944.8493.482 4.5412.9992.757127.321318.30914.089 22.327 31.59910.2157.1735.89331.82163.657636.6194.3036.965 9.9251.250 1.6385,8413.747 4.6044.0327.4535.5984.77312.9248.6106.8692.3533.1822.7762.5711.1561.4762.0153.3656.0.7180.9061.134 1.4403.7073.4993.3553.2503,1695.9593.1432.9982.8962.8212.7644.3174,0293.8333.6903.5811.9431.8955.2082.4472.3652.3062.2622.2282.6127 0.711 0.8961.1191.108 1.3971.1001.0934.7854.5014.2974.1442.5172.4491.4155.4085.0414.7814.5878 0.706 0.8890.703 0.8831.8601.8331.3832.3982.359100.7000.8791.3721.81211 0.697 0.876 1.08812 0.695 0.873 1.083 1.3563.1063.0553.0122.9772.9473.4973.4283.3724.0253.9304.4374.3181.3631.7962.2012.3282.3032.7182.6812.65013 0.69414 0.692 0.86815 0.6911.7820.870 1.079 1.350 1.7711.076 1.345 1.7611.7532.1792.1602.1452.1314.2214.1404.0732.2823.8523.7873.7332.2642.6243.3260,8661.0741.3412.2492.6023.2860.69017 0.68918161.0710.8650.8630.8621.3371.3331.3301.3281.3252.1202.1102.1012.0932.0861.7461.7402.2352.2242.2142.2052.1972.5832.5672.5522.5392.5282.9213.2523.6863.6463.6103.5794.0153.9653.9223.8833.8501.0692.8982.8782.8612.8453.2223.1973.1743.1530.6881.0671.7341.729190.6880.8611.066200.6870.8601.0641.7253.552210.6860.8590.8580.8580.8570.856 1.0581.0631.3231.061 1.3211.3191.3181.7211.7171.7141.7112.0802.0742.0692.0642.0602.1892.1832.1772.1722.1672.5182.8312.8193.1353.5273.5053.8193.7923.7683.7453.725220.68623 0.68524 0.6852.5082.5002.4923.1193.1043.0913.0781.0602.8072.7972.7873.4851.0593.467250.6841.3161.7082.4853.4500.6842627 0.6842829300.6830.6830.6830.8560.8550.8550.8540.8541.0581.0571.0561.0551.0551.3151.3141.3131.3111.3101.7061.7031.7011.6991.6972.0562.0522.0482.0452.0422.1622.1582.1542.1502.1472.4792.4732.4672.4622.4572.7792.7712.7632.7562.7503.0673.0573.0473.0383.0303.4353.4213.4083.3963.3853.7073.6903.6743.6593.6460.68232 0.68233 0.682311.3091.3090.8531.0542.0402.0372.0352.0322.0301,6962.1442.1412.1382.1362.1332.4532.4492.4452.4412.7442.7382.7332.7282.7243.0223.0153.0083.0022.9963.3753.3653.3563.3483.3403.6333.6223.6113.6013.5910.8531.0540.853 1.053 1.30834 0.682 0.852 1.052 1.307 1.6910.852 1.0521.6941.69235 0.6821.3061.6902.43836 0.68137 0.68138 0.6810.6810.852 1.052 1.3060.851 1.051 1.3050.851 1.051 1.3040.851 1.0501.6881.6871.6861.6852.0282.0262.0242.0232.1312.1292.1272.1252.4342.4312.4292.4262.7192.7152.7122.7082.9902.9852.9802.9763.3333.3263.3193.3133.5823.5743.5663.558391.304

Given ,sample size (n)=34sample mean (X)=18.9standard deviation(s)=4.1degrees of…

Answered: A simple random sample of size n is…

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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Related questions

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Question

A simple random sample of size n is drawn. The sample mean, is found to be 18.9, and the sample standard deviation, is found to be 4.1. Construct a 95% confidence interval about mean if the sample size, n, is 34.

lower bound:__ upper bound:__
(use ascending order. Round to two decimal places as needed.)

1.303
1.684
2.021
2.123
2.423
2.704
2.971
3.307
3.551
40
0.681
0.851
1.050
3.261
3.232
3.211
3.195
3.183
3.496
3.460
3.435
3.416
3.402
2.678
2.660
1.299 1.676
1.671
1.667
2.009
2.000
1.994
1.990
1.987
2.109
2.099
2.093
2.088
2.084
2.403
2.390
2.381
2.374
2.368
2.937
2.915
2.899
2.887
50 0.679
0.849
1.047
1.045
1.044 1.294
1.043
1.042
60
0.679
0.848
1.296
70 0.678 0.847
80 0.678
90
1.664
1.662
2.648
2.639
2.632
0.846
1.292
2.878
0.677
0.846
1.291
2.364
2.330
2.326
2.626
2.581
2.576
2.871
2.813
2.807
3.174
3.098
3.090
3.390
3.300
3.291
2.081
1.042
1.037
1.036
1.290
1.282
1.282
1.660
1.646
1.645
1.984
1.962
1.960
100
0.677
0.845
2.056
2.054
0.842
0.675
0.674
1000
0.842
0.10
0.05
0.025
0.02
0.01
0.005
0.0025
0.001
0.0005
df
0.25
0.20
0.15
Area in Right Tail

Area in
right tail
Table VI
t-Distribution
Area in Right Tail
df
0.25
0.20
0.15
0.10
0.05
0.025
0.02
0.01
0.005
0.0025
0.001
0.0005
1 1.000 T.376 1.963 3.078
2 0.816 1.061 1.386 1.886
(0.765 0.978
4 0.741 0.941 1.190 1.533 2.132
5 0.727 0.920
6.314
2.920
12.706
15.894
4.849
3.482 4.541
2.999
2.757
127.321
318.309
14.089 22.327 31.599
10.215
7.173
5.893
31.821
63.657
636.619
4.303
6.965 9.925
1.250 1.638
5,841
3.747 4.604
4.032
7.453
5.598
4.773
12.924
8.610
6.869
2.353
3.182
2.776
2.571
1.156
1.476
2.015
3.365
6.
0.718
0.906
1.134 1.440
3.707
3.499
3.355
3.250
3,169
5.959
3.143
2.998
2.896
2.821
2.764
4.317
4,029
3.833
3.690
3.581
1.943
1.895
5.208
2.447
2.365
2.306
2.262
2.228
2.612
7 0.711 0.896
1.119
1.108 1.397
1.100
1.093
4.785
4.501
4.297
4.144
2.517
2.449
1.415
5.408
5.041
4.781
4.587
8 0.706 0.889
0.703 0.883
1.860
1.833
1.383
2.398
2.359
10
0.700
0.879
1.372
1.812
11 0.697 0.876 1.088
12 0.695 0.873 1.083 1.356
3.106
3.055
3.012
2.977
2.947
3.497
3.428
3.372
4.025
3.930
4.437
4.318
1.363
1.796
2.201
2.328
2.303
2.718
2.681
2.650
13 0.694
14 0.692 0.868
15 0.691
1.782
0.870 1.079 1.350 1.771
1.076 1.345 1.761
1.753
2.179
2.160
2.145
2.131
4.221
4.140
4.073
2.282
3.852
3.787
3.733
2.264
2.624
3.326
0,866
1.074
1.341
2.249
2.602
3.286
0.690
17 0.689
18
16
1.071
0.865
0.863
0.862
1.337
1.333
1.330
1.328
1.325
2.120
2.110
2.101
2.093
2.086
1.746
1.740
2.235
2.224
2.214
2.205
2.197
2.583
2.567
2.552
2.539
2.528
2.921
3.252
3.686
3.646
3.610
3.579
4.015
3.965
3.922
3.883
3.850
1.069
2.898
2.878
2.861
2.845
3.222
3.197
3.174
3.153
0.688
1.067
1.734
1.729
19
0.688
0.861
1.066
20
0.687
0.860
1.064
1.725
3.552
21
0.686
0.859
0.858
0.858
0.857
0.856 1.058
1.063
1.323
1.061 1.321
1.319
1.318
1.721
1.717
1.714
1.711
2.080
2.074
2.069
2.064
2.060
2.189
2.183
2.177
2.172
2.167
2.518
2.831
2.819
3.135
3.527
3.505
3.819
3.792
3.768
3.745
3.725
22
0.686
23 0.685
24 0.685
2.508
2.500
2.492
3.119
3.104
3.091
3.078
1.060
2.807
2.797
2.787
3.485
1.059
3.467
25
0.684
1.316
1.708
2.485
3.450
0.684
26
27 0.684
28
29
30
0.683
0.683
0.683
0.856
0.855
0.855
0.854
0.854
1.058
1.057
1.056
1.055
1.055
1.315
1.314
1.313
1.311
1.310
1.706
1.703
1.701
1.699
1.697
2.056
2.052
2.048
2.045
2.042
2.162
2.158
2.154
2.150
2.147
2.479
2.473
2.467
2.462
2.457
2.779
2.771
2.763
2.756
2.750
3.067
3.057
3.047
3.038
3.030
3.435
3.421
3.408
3.396
3.385
3.707
3.690
3.674
3.659
3.646
0.682
32 0.682
33 0.682
31
1.309
1.309
0.853
1.054
2.040
2.037
2.035
2.032
2.030
1,696
2.144
2.141
2.138
2.136
2.133
2.453
2.449
2.445
2.441
2.744
2.738
2.733
2.728
2.724
3.022
3.015
3.008
3.002
2.996
3.375
3.365
3.356
3.348
3.340
3.633
3.622
3.611
3.601
3.591
0.853
1.054
0.853 1.053 1.308
34 0.682 0.852 1.052 1.307 1.691
0.852 1.052
1.694
1.692
35 0.682
1.306
1.690
2.438
36 0.681
37 0.681
38 0.681
0.681
0.852 1.052 1.306
0.851 1.051 1.305
0.851 1.051 1.304
0.851 1.050
1.688
1.687
1.686
1.685
2.028
2.026
2.024
2.023
2.131
2.129
2.127
2.125
2.434
2.431
2.429
2.426
2.719
2.715
2.712
2.708
2.990
2.985
2.980
2.976
3.333
3.326
3.319
3.313
3.582
3.574
3.566
3.558
39
1.304

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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