An experiment is being conducted to see if one type of animal feed is better than another. The experiment used 120 animals. The weight of the animals was a mean of 70.05 kg with the new food vs 66.61 with the current food being used. The standard deviation of the samples was 11.16lbs. Write your hypotheses in statistics form. Attached is a table of T values. Determine if the new food is contributing to larger weight. Assume an alpha 10%. What would you conclude about the new feed if the alpha were 5% t Tablecum. probone-tailtwo-tailsdf10.0002 0.00030.000456t 500.501.0010 111213415 167 18 19 20 21 22le.xls 7/14/20070.0000.0000.0000.0000.0000.0000.0000.0000.000780.00090.0000.0000.0000.0000.0000.000t.750.250.500.0000.0000.0001.0000.8160.0000%1.3761.0610.7650.9780.9410.7410.9200.9060.7110.8960.8890.7060.7270.7180.7030.7000.6970.6950.000 0.6880.6940.6920.6910.6900.6890.6880.000 0.687t.800.200.4012.71 31.82 63.662.920 4.303 6.965 9.9252.353 3.182 4.541 5.8412.132 2.776 3.747 4.6043.365 4.0322.015 2.5711.943 2.4473.143 3.7071.1191.3971.1081.895 2.365 2.998 3.4991.860 2.306 2.896 3.3551.833 2.262 2.821 3.2501.812 2.228 2.764 3.1691.7962.718 3.1061.100 1.3831.3721.0934.2974.1440.8761.3631.0882.2014.0250.873 1.083 1.356 1.782 2.1792.6813.0553.9300.8701.0791.771 2.1602.6503.0123.8520.8681.0761.761 2.1452.6242.9773.7870.8661.0741.7532.1312.6022.9473.7330.865 1.0711.7462.583 2.921 3.6860.8631.0691.3331.7402.898 3.6462.5672.552 2.878 3.6100.862 1.067 1.3300.8611.0662.8613.5793.8830.8601.0642.845 3.5523.8500.8591.0631.3232.8313.5273.8190.8581.0611.3212.8193.5053.7922.8073.4853.7682.797 3.4673.7450.8581.060 1.3190.857 1.059 1.3180.856 1.058 1.3160.856 1.0583.4503.7251.3152.779 3.4353.7071.0571.3142.7713.4213.6901.0561.3132.7633.4083.6741.0551.3112.756 3.3963.6591.0552.7503.3853.6460.8540.851 1.0500.848 1.0450.678 0.846 1.043 1.2923.3073.5513.2323.4600.6770.845 1.0423.1951.2903.4160.6750.8421.037 1.2823.174 3.3903.0983.3001.03670%3.29110.000 0.6860.000 0.68623 0.000 0.68524 0.000 0.68525 0.000 0.68426 0.000 0.68427 0.000 0.684 0.85528 0.000 0.683 0.85529 0.000 0.683 0.85450030 0.000 0.68340 0.000 0.6810.6790.00060801001000Z0.67450%0.8830.879t.850.150.300.84260%t.900.100.201.9631.386 1.8861.2501.6381.1901.5331.156 1.4761.1341.4401.4153.078 6.314t.950.050.101.3501.3451.3411.3371.3281.3251.9750.0250.05Nt.999t.9995t.9950.0050.001 0.00050.02 0.01 0.002 0.0012.1202.110t.990.011.7342.1011.729 2.0932.5391.725 2.086 2.5281.721 2.080 2.5181.717 2.074 2.5082.5002.4921.714 2.0691.711 2.0641.708 2.0601.7062.0562.485 2.7872.4791.7032.0522.4731.701 2.0482.4671.6992.0452.4621.3102.042 2.4571.6971.303 1.684 2.021 2.4231.296 1.6712.0001.6641.9901.6601.9842.3641.6461.962 2.3301.2821.6451.9602.32680% 90% 95% 98%Confidence Level2.3902.3742.7042.6602.6392.6262.581636.62318.3122.327 31.59910.215 12.9247.1735.8935,2084.7854.5012.5763.09099% 99.8%99.8%8.6106.8695.9595.4085.0414.7814.5874.4374.3184.2214.1404.0734.0153.9653.92299.9%

Let μ be the population mean weight of the animals. Given that, Population mean (μ)=66.61 kgSample…

Answered: Attached is a table of T values.…

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

An experiment is being conducted to see if one type of animal feed is better than another. The experiment used 120 animals. The weight of the animals was a mean of 70.05 kg with the new food vs 66.61 with the current food being used. The standard deviation of the samples was 11.16lbs. Write your hypotheses in statistics form. Attached is a table of T values. Determine if the new food is contributing to larger weight. Assume an alpha 10%. What would you conclude about the new feed if the alpha were 5%

t Table
cum. prob
one-tail
two-tails
df
1
0.000
2 0.000
3
0.000
4
5
6
t 50
0.50
1.00
10 111213415 167 18 19 20 21 22
le.xls 7/14/2007
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
7
8
0.000
9
0.000
0.000
0.000
0.000
0.000
0.000
t.75
0.25
0.50
0.000
0.000
0.000
1.000
0.816
0.000
0%
1.376
1.061
0.765
0.978
0.941
0.741
0.920
0.906
0.711
0.896
0.889
0.706
0.727
0.718
0.703
0.700
0.697
0.695
0.000 0.688
0.694
0.692
0.691
0.690
0.689
0.688
0.000 0.687
t.80
0.20
0.40
12.71 31.82 63.66
2.920 4.303 6.965 9.925
2.353 3.182 4.541 5.841
2.132 2.776 3.747 4.604
3.365 4.032
2.015 2.571
1.943 2.447
3.143 3.707
1.119
1.397
1.108
1.895 2.365 2.998 3.499
1.860 2.306 2.896 3.355
1.833 2.262 2.821 3.250
1.812 2.228 2.764 3.169
1.796
2.718 3.106
1.100 1.383
1.372
1.093
4.297
4.144
0.876
1.363
1.088
2.201
4.025
0.873 1.083 1.356 1.782 2.179
2.681
3.055
3.930
0.870
1.079
1.771 2.160
2.650
3.012
3.852
0.868
1.076
1.761 2.145
2.624
2.977
3.787
0.866
1.074
1.753
2.131
2.602
2.947
3.733
0.865 1.071
1.746
2.583 2.921 3.686
0.863
1.069
1.333
1.740
2.898 3.646
2.567
2.552 2.878 3.610
0.862 1.067 1.330
0.861
1.066
2.861
3.579
3.883
0.860
1.064
2.845 3.552
3.850
0.859
1.063
1.323
2.831
3.527
3.819
0.858
1.061
1.321
2.819
3.505
3.792
2.807
3.485
3.768
2.797 3.467
3.745
0.858
1.060 1.319
0.857 1.059 1.318
0.856 1.058 1.316
0.856 1.058
3.450
3.725
1.315
2.779 3.435
3.707
1.057
1.314
2.771
3.421
3.690
1.056
1.313
2.763
3.408
3.674
1.055
1.311
2.756 3.396
3.659
1.055
2.750
3.385
3.646
0.854
0.851 1.050
0.848 1.045
0.678 0.846 1.043 1.292
3.307
3.551
3.232
3.460
0.677
0.845 1.042
3.195
1.290
3.416
0.675
0.842
1.037 1.282
3.174 3.390
3.098
3.300
1.036
70%
3.2911
0.000 0.686
0.000 0.686
23 0.000 0.685
24 0.000 0.685
25 0.000 0.684
26 0.000 0.684
27 0.000 0.684 0.855
28 0.000 0.683 0.855
29 0.000 0.683 0.854
500
30 0.000 0.683
40 0.000 0.681
0.679
0.000
60
80
100
1000
Z
0.674
50%
0.883
0.879
t.85
0.15
0.30
0.842
60%
t.90
0.10
0.20
1.963
1.386 1.886
1.250
1.638
1.190
1.533
1.156 1.476
1.134
1.440
1.415
3.078 6.314
t.95
0.05
0.10
1.350
1.345
1.341
1.337
1.328
1.325
1.975
0.025
0.05
N
t.999
t.9995
t.995
0.005
0.001 0.0005
0.02 0.01 0.002 0.001
2.120
2.110
t.99
0.01
1.734
2.101
1.729 2.093
2.539
1.725 2.086 2.528
1.721 2.080 2.518
1.717 2.074 2.508
2.500
2.492
1.714 2.069
1.711 2.064
1.708 2.060
1.706
2.056
2.485 2.787
2.479
1.703
2.052
2.473
1.701 2.048
2.467
1.699
2.045
2.462
1.310
2.042 2.457
1.697
1.303 1.684 2.021 2.423
1.296 1.671
2.000
1.664
1.990
1.660
1.984
2.364
1.646
1.962 2.330
1.282
1.645
1.960
2.326
80% 90% 95% 98%
Confidence Level
2.390
2.374
2.704
2.660
2.639
2.626
2.581
636.62
318.31
22.327 31.599
10.215 12.924
7.173
5.893
5,208
4.785
4.501
2.576
3.090
99% 99.8%
99.8%
8.610
6.869
5.959
5.408
5.041
4.781
4.587
4.437
4.318
4.221
4.140
4.073
4.015
3.965
3.922
99.9%

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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