You are interested in exploring the relationship between serum homocysteine levels and endometriosis. You collect data from 100 randomly selected people with endometriosis. Your sample has a mean serum homocysteine level of 47 µmol/L. You know that the mean homocysteine for healthy people who can develop endometriosis (ie. Have an endometrium) is 25 µmol/L with a standard deviation of 15 µmol/L. Use hypothesis testing to determine whether your sample (mean 47 µmol/L) has different levels of homocysteine than healthy people who can develop endometriosis (ie. We want to know whether those with endometriosis have different levels of homocysteine than the population of people who can develop endometriosis but are healthy) Identify a null and alternative hypothesis for a two-sided test. Calculate a z score for this data and depict the z score on a standard normal curve. You are welcome to draw the distribution on your computer or draw it by hand. Include the image in your summary document. Using the standard normal chart provided below, identify the area to the left and right of your z score. Assuming this is a two-sided test, identify your p value. Based on your findings, identify whether you would reject or fail to reject the null hypothesis with a significance level of α = 0.05. TabletyStandard Normal ProbabilitiesTable entry for z is the area under the standard normal curveto the left of z2.03.06.08.0003.0700030004.0005 .00050004000700100014.00 .01 .02.04 .05-3.4 .0003 .0003 .0003 .0003 .0003 .0003 .0003-3.3 .0005 .0005 .0005 .0004 0004 0004 .0004-3.2 .0007 .0007 .0006.0006 .0006 0006 .0006-3.1 .0010 .0009 .0009 .0009 0008 .0008 .0008 0008-3.0 .0013 0013 .0013 .0012 .0012 0011.0011 0011-2.9 .0019 .0018 .0018.0017 .0016 .0016 .0015 .0015-2.8 .0026 .0025 .0024 .0023 .0023 .0022 .0021 0021-2.7 .0035 .0034 .0033 .0032 .0031 0030 .0029 0028-2.6 .0047 .0045 .0044 .0043 .0041 0040 .0039 0038-2.5 .0062 .0060 .0059 .0057 .0055 .0054 .00520051-2.4 .0082 .0080 .0078 .0075 .0073 .00710069.0068-2.3 .0107 0104 .0102 .0099 .0096 .0094 .0091.0089 .0087-2.2 .0139 .0136 .01320122 .0119-2.1 .0179 .0174 .0170.0158 .0154 0150-2.0 0228 0222 0217-1.9 .0287 .0281 .0274-1.8 .0359 0351 .0344-1.7 .0446 .0436 .0427-1.6 .0548.0526-1.5 .0668 .0655 .0643-1.40116 01130146.01880202 0197 01920256 .0250 02440322 0314 03070239.0129 0125.0166 01620212 0207.0268 0262.0336 0329.0418 .0409 0401.0516 0505 0495.0630 .0618 0606.0764 07490918030105370735 0721 0708-1.3.0808 .0793 .077809680934.09511131 1112090108850853-1.2 1151.1093 .10751056-1.11357.1335.1314.1292.1271.1251.1230-1.0.1587.1562.15391515.14921469.1446-0.9.1814 .1788.1762 .17361711 .16851977 .194919222266 2236 22062810.1841-0.8 .2119 2090 2061-0.7 .2420 2389 2358-0.62743 2709 .2676-0.5 .3085 .3050 .3015-0.4 .3446 .3409 .3372-0.3 .3821 .3783 .3745-0.2 4207 4168 .4129-0.1 .4602 4562 .4522-0.0 5000 4960 4920.2033 20052327 22962643 2611 2578 2546 2514.2981 2946 2912 2877 2843.3336 3300 3264 3228 3192 3156.3707 3669 3632 .3594 3557 35204090 4052 4013 .3974 3936 3897.4483 4443 4404 .4364 4325 42864721 46814880 4840 4801 .4761.0392 03840485 0475.059408691038.0020.00190027.0026.0037.00360049.00480066 .0064.0084011003750465090002.0003.0005.00070010.00140582 .0571069408.381020 100312101190142314011660 .1635189421772483.0143.018302330294.0367.04550559068108230985.1170.1379.1611.186721482451.2776.3121.348338594247.4641I0.0.00.01.05 .0608.07527953195675 57147224754991770203 045000 5040 5080 5120 5160 5199 52395398 5438 54785517 5557 5596 56365793 5832 5871 5910 5948 5987 6026 6064 61036179 6217 .6255 6293 .6331 .6368 .6406 .6443 64806554 6591 6628 6664 6700 6736 6772 6808 6844.6915 6950 6985 7019 7054 .7088 7123 7157 71907257 7291 73247357 .7389 .7422 7454 7486 75177580 7611 76427673 .7704 7734 .7764 7794 782378527881 7910 7939 7967 7995 8023 8051 8078 8106 .81338159 8186 8212 8238 8264 8289 .8315 8340 .8365 .83898413 8438 8461 8485 8508 8531 .8554 8577 8599 .86218643 8665 8686 8708 8729 8749 .8770 8790 8810 .88308849 8869 8888 89078925.8944 8962 8980 8997 .90159032 9049 9066 9082 .9099 9115 .9131 914791629192 9207 9222 9236 9251 9265 .9279 9292 93069332 9345 9357 9370 9382 9394 .9406 9418 94299452 9463 9474 9484 9495 .9505 9515 9525 953595549564 9573 9582.9599.959196089641 964996649671 9678 .9686965697139726 9732 9738 .974497199783 97889772 97789826 9830982198349864 9868986198989893 98969906.9909991399112.49918 9920 9922 9925 9927 .9929 9931 9932 99342.5 9938 9940 9941 99439945 .9946 9948 9949 99512.69953 9955 9956 99579959 9960 9961 9962 99639966 9967 .9968 9969 .9970 .9971 9972 99732.8 .9974 9975 9976 9977.9977 9978 9979 9979 99809981 9982 9982 9983 .9984 .9984 9985 9985 .99869987 9987 9987 9988 9988 9989 9989 9989 99909990 9991 9991 9991 .9992 .9992 .9992 999299939993 9993 9994 9994 9994 9994 9994 9995 9995 .99959995 9995 9995 9996 .9996 .9996 .9996 9996 9996 .99979997 9997 9997 9997 .9997 .9997 .9997 9997 9997 .9998.95459616 .96259693 9699963397069761.9767.9750 9756.98039793 .979898089812981798389842984698509854.98579871.9875.9878988198849887.98902.39901.9904.99162.7 9965.9936.99529964.99749981.99869990.9993wwwww~~EEEEEEEEEEEEEEEEEE8888ERERES0.10.20.30.40.50.60.70.80.91.01.11.21.31.41.51.61.71.81.92.02.12.21345689012342.93.03.13.23.3Standard Normal Probabilities3.4Table entry for is the area under the standard normal curveto the left of z..0953595753.6141.6517.6879.93199441

Given that, Population mean (μ) = 27 Standard deviation (σ) = 15 Sample size (n) = 100 Sample mean…

Answered: Identify a null and alternative…

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

You are interested in exploring the relationship between serum homocysteine levels and endometriosis. You collect data from 100 randomly selected people with endometriosis. Your sample has a mean serum homocysteine level of 47 µmol/L. You know that the mean homocysteine for healthy people who can develop endometriosis (ie. Have an endometrium) is 25 µmol/L with a standard deviation of 15 µmol/L.

Use hypothesis testing to determine whether your sample (mean 47 µmol/L) has different levels of homocysteine than healthy people who can develop endometriosis (ie. We want to know whether those with endometriosis have different levels of homocysteine than the population of people who can develop endometriosis but are healthy)

Identify a null and alternative hypothesis for a two-sided test.

Calculate a z score for this data and depict the z score on a standard normal curve. You are welcome to draw the distribution on your computer or draw it by hand. Include the image in your summary document.

Using the standard normal chart provided below, identify the area to the left and right of your z score.

Assuming this is a two-sided test, identify your p value. Based on your findings, identify whether you would reject or fail to reject the null hypothesis with a significance level of α = 0.05.

Tablety
Standard Normal Probabilities
Table entry for z is the area under the standard normal curve
to the left of z
2
.03
.06
.08
.0003
.07
0003
0004
.0005 .0005
0004
0007
0010
0014
.00 .01 .02
.04 .05
-3.4 .0003 .0003 .0003 .0003 .0003 .0003 .0003
-3.3 .0005 .0005 .0005 .0004 0004 0004 .0004
-3.2 .0007 .0007 .0006
.0006 .0006 0006 .0006
-3.1 .0010 .0009 .0009 .0009 0008 .0008 .0008 0008
-3.0 .0013 0013 .0013 .0012 .0012 0011
.0011 0011
-2.9 .0019 .0018 .0018
.0017 .0016 .0016 .0015 .0015
-2.8 .0026 .0025 .0024 .0023 .0023 .0022 .0021 0021
-2.7 .0035 .0034 .0033 .0032 .0031 0030 .0029 0028
-2.6 .0047 .0045 .0044 .0043 .0041 0040 .0039 0038
-2.5 .0062 .0060 .0059 .0057 .0055 .0054 .0052
0051
-2.4 .0082 .0080 .0078 .0075 .0073 .0071
0069
.0068
-2.3 .0107 0104 .0102 .0099 .0096 .0094 .0091
.0089 .0087
-2.2 .0139 .0136 .0132
0122 .0119
-2.1 .0179 .0174 .0170
.0158 .0154 0150
-2.0 0228 0222 0217
-1.9 .0287 .0281 .0274
-1.8 .0359 0351 .0344
-1.7 .0446 .0436 .0427
-1.6 .0548
.0526
-1.5 .0668 .0655 .0643
-1.4
0116 0113
0146
.0188
0202 0197 0192
0256 .0250 0244
0322 0314 0307
0239
.0129 0125
.0166 0162
0212 0207
.0268 0262
.0336 0329
.0418 .0409 0401
.0516 0505 0495
.0630 .0618 0606
.0764 0749
0918
0301
0537
0735 0721 0708
-1.3
.0808 .0793 .0778
0968
0934
.0951
1131 1112
0901
0885
0853
-1.2 1151
.1093 .1075
1056
-1.1
1357
.1335
.1314
.1292
.1271
.1251
.1230
-1.0
.1587
.1562
.1539
1515
.1492
1469
.1446
-0.9
.1814 .1788
.1762 .1736
1711 .1685
1977 .1949
1922
2266 2236 2206
2810
.1841
-0.8 .2119 2090 2061
-0.7 .2420 2389 2358
-0.6
2743 2709 .2676
-0.5 .3085 .3050 .3015
-0.4 .3446 .3409 .3372
-0.3 .3821 .3783 .3745
-0.2 4207 4168 .4129
-0.1 .4602 4562 .4522
-0.0 5000 4960 4920
.2033 2005
2327 2296
2643 2611 2578 2546 2514
.2981 2946 2912 2877 2843
.3336 3300 3264 3228 3192 3156
.3707 3669 3632 .3594 3557 3520
4090 4052 4013 .3974 3936 3897
.4483 4443 4404 .4364 4325 4286
4721 4681
4880 4840 4801 .4761
.0392 0384
0485 0475
.0594
0869
1038
.0020
.0019
0027
.0026
.0037
.0036
0049
.0048
0066 .0064
.0084
0110
0375
0465
09
0002
.0003
.0005
.0007
0010
.0014
0582 .0571
0694
08.38
1020 1003
1210
1190
1423
1401
1660 .1635
1894
2177
2483
.0143
.0183
0233
0294
.0367
.0455
0559
0681
0823
0985
.1170
.1379
.1611
.1867
2148
2451
.2776
.3121
.3483
3859
4247
.4641
I
0.0
.00
.01
.05 .06
08
.07
5279
5319
5675 5714
7224
7549
9177
02
03 04
5000 5040 5080 5120 5160 5199 5239
5398 5438 5478
5517 5557 5596 5636
5793 5832 5871 5910 5948 5987 6026 6064 6103
6179 6217 .6255 6293 .6331 .6368 .6406 .6443 6480
6554 6591 6628 6664 6700 6736 6772 6808 6844
.6915 6950 6985 7019 7054 .7088 7123 7157 7190
7257 7291 7324
7357 .7389 .7422 7454 7486 7517
7580 7611 7642
7673 .7704 7734 .7764 7794 7823
7852
7881 7910 7939 7967 7995 8023 8051 8078 8106 .8133
8159 8186 8212 8238 8264 8289 .8315 8340 .8365 .8389
8413 8438 8461 8485 8508 8531 .8554 8577 8599 .8621
8643 8665 8686 8708 8729 8749 .8770 8790 8810 .8830
8849 8869 8888 8907
8925
.8944 8962 8980 8997 .9015
9032 9049 9066 9082 .9099 9115 .9131 9147
9162
9192 9207 9222 9236 9251 9265 .9279 9292 9306
9332 9345 9357 9370 9382 9394 .9406 9418 9429
9452 9463 9474 9484 9495 .9505 9515 9525 9535
9554
9564 9573 9582
.9599
.9591
9608
9641 9649
9664
9671 9678 .9686
9656
9713
9726 9732 9738 .9744
9719
9783 9788
9772 9778
9826 9830
9821
9834
9864 9868
9861
9898
9893 9896
9906
.9909
9913
9911
2.4
9918 9920 9922 9925 9927 .9929 9931 9932 9934
2.5 9938 9940 9941 9943
9945 .9946 9948 9949 9951
2.6
9953 9955 9956 9957
9959 9960 9961 9962 9963
9966 9967 .9968 9969 .9970 .9971 9972 9973
2.8 .9974 9975 9976 9977
.9977 9978 9979 9979 9980
9981 9982 9982 9983 .9984 .9984 9985 9985 .9986
9987 9987 9987 9988 9988 9989 9989 9989 9990
9990 9991 9991 9991 .9992 .9992 .9992 9992
9993
9993 9993 9994 9994 9994 9994 9994 9995 9995 .9995
9995 9995 9995 9996 .9996 .9996 .9996 9996 9996 .9997
9997 9997 9997 9997 .9997 .9997 .9997 9997 9997 .9998
.9545
9616 .9625
9693 9699
9633
9706
9761
.9767
.9750 9756
.9803
9793 .9798
9808
9812
9817
9838
9842
9846
9850
9854
.9857
9871
.9875
.9878
9881
9884
9887
.9890
2.3
9901
.9904
.9916
2.7 9965
.9936
.9952
9964
.9974
9981
.9986
9990
.9993
wwwww~~EEEEEEEEEEEEEEEEEE8888ERERES
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
13456
8901234
2.9
3.0
3.1
3.2
3.3
Standard Normal Probabilities
3.4
Table entry for is the area under the standard normal curve
to the left of z.
.09
5359
5753
.6141
.6517
.6879
.9319
9441

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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