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extra_credit-miderm_progress_project-5_points.docxExtra Credit Assignment: Midterm Grades
Complete Midterm progress grades have been computed for both MEDB5501 Biostatistics I classes. All students now have exact grades up to and including the midterm exam. You can calculate your number grade based on the scale of 0-100 by dividing your point total by the total points possible (218) up to and including the midterm exam.
I have run the descriptive analysis as well as a test to compare the two class’s mean grades for complete midterm grades. The data has been de-identified. No student can see the individual grade for any other student or the class section. All pertinent tables and graphs are found in this document.
Part 1: Write-up: Using all of the output provided, write one summary paragraph write-up of the midterm progress grades for both classes together and for each class individually all within the same write-up. This should be a summary paragraph. There will be no points given for summarizing each table or graph separately with no included summary write-up.
B. Complete the following:
i. Calculate the z-score for your 0-100 grade relative to the combined classes mean. Show all work.
ii. Report this z-score and also report if your score is significantly different from the combined classes mean. (Use the Z score for p<.05 (Z = ± 1.96) for this decision).
iii. Using your z-score and the table of z-scores below, report the percentile rank of your midterm progress grade relative to the combined classes. Pay attention to positive and negative values. (Example: A z-score of +1.92 = .9726 = 97.26 percentile while a z-score of -1.92 = 2.74 percentile)
____________________________________________________________________________________
Combined Class Data
Distribution of Class A and Class B grades combined
Combined Classes N
Descriptive Statistics for Class A and Class B combined.
Tests of Normality for Class A and Class B combined
Box Plot for Class A and Class B combined
___________________________________________________________________________
Individual Class Data
Individual classes N
Descriptive Statistics for each class individually.
Normality Tests Table for Individual Classes
Box Plots for Individual Classes
Population Pyramid with the distribution for each class.
Comparison of the Individual Class means.
z-Score Chart Use this chart to find the area under a normal curve when finding an approximation for a binomial distribution. Negative z-score - value is to the left of the mean. Positive z-score - value is to the right of the mean.
|
Negative z-scores: |
||||||||||
|
z |
0.09 |
0.08 |
0.07 |
0.06 |
0.05 |
0.04 |
0.03 |
0.02 |
0.01 |
0.0 |
|
-3.4 |
0.0002 |
0.0003 |
0.0003 |
0.0003 |
0.0003 |
0.0003 |
0.0003 |
0.0003 |
0.0003 |
0.0003 |
|
-3.3 |
0.0003 |
0.0004 |
0.0004 |
0.0004 |
0.0004 |
0.0004 |
0.0004 |
0.0005 |
0.0005 |
0.0005 |
|
-3.2 |
0.0005 |
0.0005 |
0.0005 |
0.0006 |
0.0006 |
0.0006 |
0.0006 |
0.0006 |
0.0007 |
0.0007 |
|
-3.1 |
0.0007 |
0.0007 |
0.0008 |
0.0008 |
0.0008 |
0.0008 |
0.0009 |
0.0009 |
0.0009 |
0.0010 |
|
-3.0 |
0.0010 |
0.0010 |
0.0011 |
0.0011 |
0.0011 |
0.0012 |
0.0012 |
0.0013 |
0.0013 |
0.0013 |
|
-2.9 |
0.0014 |
0.0014 |
0.0015 |
0.0015 |
0.0016 |
0.0016 |
0.0017 |
0.0018 |
0.0018 |
0.0019 |
|
-2.8 |
0.0019 |
0.0020 |
0.0021 |
0.0021 |
0.0022 |
0.0023 |
0.0023 |
0.0024 |
0.0025 |
0.0026 |
|
-2.7 |
0.0026 |
0.0027 |
0.0028 |
0.0029 |
0.0030 |
0.0031 |
0.0032 |
0.0033 |
0.0034 |
0.0035 |
|
-2.6 |
0.0036 |
0.0037 |
0.0038 |
0.0039 |
0.0040 |
0.0041 |
0.0043 |
0.0044 |
0.0045 |
0.0047 |
|
-2.5 |
0.0048 |
0.0049 |
0.0051 |
0.0052 |
0.0054 |
0.0055 |
0.0057 |
0.0059 |
0.0060 |
0.0062 |
|
-2.4 |
0.0064 |
0.0066 |
0.0068 |
0.0069 |
0.0071 |
0.0073 |
0.0075 |
0.0078 |
0.0080 |
0.0082 |
|
-2.3 |
0.0084 |
0.0087 |
0.0089 |
0.0091 |
0.0094 |
0.0096 |
0.0099 |
0.0102 |
0.0104 |
0.0107 |
|
-2.2 |
0.0110 |
0.0113 |
0.0116 |
0.0119 |
0.0122 |
0.0125 |
0.0129 |
0.0132 |
0.0136 |
0.0139 |
|
-2.1 |
0.0143 |
0.0146 |
0.0150 |
0.0154 |
0.0158 |
0.0162 |
0.0166 |
0.0170 |
0.0174 |
0.0179 |
|
-2.0 |
0.0183 |
0.0188 |
0.0192 |
0.0197 |
0.0202 |
0.0207 |
0.0212 |
0.0217 |
0.0222 |
0.0228 |
|
-1.9 |
0.0233 |
0.0239 |
0.0244 |
0.0250 |
0.0256 |
0.0262 |
0.0268 |
0.0274 |
0.0281 |
0.0287 |
|
-1.8 |
0.0294 |
0.0301 |
0.0307 |
0.0314 |
0.0322 |
0.0329 |
0.0336 |
0.0344 |
0.0351 |
0.0359 |
|
-1.7 |
0.0367 |
0.0375 |
0.0384 |
0.0392 |
0.0401 |
0.0409 |
0.0418 |
0.0427 |
0.0436 |
0.0446 |
|
-1.6 |
0.0455 |
0.0465 |
0.0475 |
0.0485 |
0.0495 |
0.0505 |
0.0516 |
0.0526 |
0.0537 |
0.0548 |
|
-1.5 |
0.0559 |
0.0571 |
0.0582 |
0.0594 |
0.0606 |
0.0618 |
0.0630 |
0.0643 |
0.0655 |
0.0668 |
|
-1.4 |
0.0681 |
0.0694 |
0.0708 |
0.0721 |
0.0735 |
0.0749 |
0.0764 |
0.0778 |
0.0793 |
0.0808 |
|
-1.3 |
0.0823 |
0.0838 |
0.0853 |
0.0869 |
0.0885 |
0.0901 |
0.0918 |
0.0934 |
0.0951 |
0.0968 |
|
-1.2 |
0.0985 |
0.1003 |
0.1020 |
0.1038 |
0.1056 |
0.1075 |
0.1093 |
0.1112 |
0.1131 |
0.1151 |
|
-1.1 |
0.1170 |
0.1190 |
0.1210 |
0.1230 |
0.1251 |
0.1271 |
0.1292 |
0.1314 |
0.1335 |
0.1357 |
|
-1.0 |
0.1379 |
0.1401 |
0.1423 |
0.1446 |
0.1469 |
0.1492 |
0.1515 |
0.1539 |
0.1562 |
0.1587 |
|
-0.9 |
0.1611 |
0.1635 |
0.1660 |
0.1685 |
0.1711 |
0.1736 |
0.1762 |
0.1788 |
0.1814 |
0.1841 |
|
-0.8 |
0.1867 |
0.1894 |
0.1922 |
0.1949 |
0.1977 |
0.2005 |
0.2033 |
0.2061 |
0.2090 |
0.2119 |
|
-0.7 |
0.2148 |
0.2177 |
0.2206 |
0.2236 |
0.2266 |
0.2296 |
0.2327 |
0.2358 |
0.2389 |
0.2420 |
|
-0.6 |
0.2451 |
0.2483 |
0.2514 |
0.2546 |
0.2578 |
0.2611 |
0.2643 |
0.2676 |
0.2709 |
0.2743 |
|
-0.5 |
0.2776 |
0.2810 |
0.2843 |
0.2877 |
0.2912 |
0.2946 |
0.2981 |
0.3015 |
0.3050 |
0.3085 |
|
-0.4 |
0.3121 |
0.3156 |
0.3192 |
0.3228 |
0.3264 |
0.3300 |
0.3336 |
0.3372 |
0.3409 |
0.3446 |
|
-0.3 |
0.3483 |
0.3520 |
0.3557 |
0.3594 |
0.3632 |
0.3669 |
0.3707 |
0.3745 |
0.3783 |
0.3821 |
|
-0.2 |
0.3829 |
0.3897 |
0.3936 |
0.3974 |
0.4013 |
0.4052 |
0.4090 |
0.4129 |
0.4168 |
0.4207 |
|
-0.1 |
0.4247 |
0.4286 |
0.4325 |
0.4364 |
0.4404 |
0.4443 |
0.4483 |
0.4522 |
0.4562 |
0.4602 |
|
-0.0 |
0.4641 |
0.4681 |
0.4721 |
0.4761 |
0.4801 |
0.4840 |
0.4880 |
0.4920 |
0.4960 |
0.5000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
Positive z-scores: |
||||||||||
|
z |
0.0 |
0.01 |
0.02 |
0.03 |
0.04 |
0.05 |
0.06 |
0.07 |
0.08 |
0.09 |
|
0.0 |
0.5000 |
0.5040 |
0.5080 |
0.5120 |
0.5160 |
0.5199 |
0.5239 |
0.5279 |
0.5319 |
0.5359 |
|
0.1 |
0.5398 |
0.5438 |
0.5478 |
0.5517 |
0.5557 |
0.5596 |
0.5636 |
0.5675 |
0.5714 |
0.5753 |
|
0.2 |
0.5793 |
0.5832 |
0.5871 |
0.5910 |
0.5948 |
0.5987 |
0.6026 |
0.6064 |
0.6103 |
0.6141 |
|
0.3 |
0.6179 |
0.6217 |
0.6255 |
0.6293 |
0.6331 |
0.6368 |
0.6406 |
0..6443 |
0.6480 |
0.6517 |
|
0.4 |
0.6554 |
0.6591 |
0.6628 |
0.6664 |
0.6700 |
0.6736 |
0.6772 |
0.6808 |
0.6844 |
0.6879 |
|
0.5 |
0.6915 |
0.6950 |
0.6985 |
0.7019 |
0.7054 |
0.7088 |
0.7123 |
0.7157 |
0.7190 |
0.7224 |
|
0.6 |
0.7257 |
0.7291 |
0.7324 |
0.7357 |
0.7389 |
0.7422 |
0.7454 |
0.7486 |
0.7517 |
0.7549 |
|
0.7 |
0.7580 |
0.7611 |
0.7642 |
0.7673 |
0.7704 |
0.7734 |
0.7764 |
0.7794 |
0.7823 |
0.7852 |
|
0.8 |
0.7881 |
0.7910 |
0.7939 |
0.7967 |
0.7995 |
0.8023 |
0.8051 |
0.8078 |
0.8106 |
0.8133 |
|
0.9 |
0.8159 |
0.8186 |
0.8212 |
0.8238 |
0.8264 |
0.8289 |
0.8315 |
0.8340 |
0.8365 |
0.8389 |
|
1.0 |
0.8413 |
0.8438 |
0.8461 |
0.8485 |
0.8508 |
0.8531 |
0.8554 |
0.8577 |
0.8599 |
0.8621 |
|
1.1 |
0.8643 |
0.8665 |
0.8686 |
0.8708 |
0.8729 |
0.8749 |
0.8770 |
0.8790 |
0.8810 |
0.8830 |
|
1.2 |
0.8849 |
0.8869 |
0.8888 |
0.8907 |
0.8925 |
0.8944 |
0.8962 |
0.8980 |
0.8997 |
0.9015 |
|
1.3 |
0.9032 |
0.9049 |
0.9066 |
0.9082 |
0.9099 |
0.9115 |
0.9131 |
0.9147 |
0.9162 |
0.9177 |
|
1.4 |
0.9192 |
0.9207 |
0.9222 |
0.9236 |
0.9251 |
0.9265 |
0.9279 |
0.9292 |
0.9306 |
0.9319 |
|
1.5 |
0.9332 |
0.9345 |
0.9357 |
0.9370 |
0.9382 |
0.9394 |
0.9406 |
0.9418 |
0.9429 |
0.9441 |
|
1.6 |
0.9452 |
0.9463 |
0.9474 |
0.9484 |
0.9495 |
0.9505 |
0.9515 |
0.9525 |
0.9535 |
0.9545 |
|
1.7 |
0.9554 |
0.9564 |
0.9573 |
0.9582 |
0.9591 |
0.9599 |
0.9608 |
0.9616 |
0.9625 |
0.9633 |
|
1.8 |
0.9641 |
0.9649 |
0.9656 |
0.9664 |
0.9671 |
0.9678 |
0.9686 |
0.9693 |
0.9699 |
0.9706 |
|
1.9 |
0.9713 |
0.9719 |
0.9726 |
0.9732 |
0.9738 |
0.9744 |
0.9750 |
0.9756 |
0.9761 |
0.9767 |
|
2.0 |
0.9772 |
0.9778 |
0.9783 |
0.9788 |
0.9793 |
0.9798 |
0.9803 |
0.9808 |
0.9812 |
0.9817 |
|
2.1 |
0.9821 |
0.9826 |
0.9830 |
0.9834 |
0.9838 |
0.9842 |
0.9846 |
0.9850 |
0.9854 |
0.9857 |
|
2.2 |
0.9861 |
0.9864 |
0.9868 |
0.9871 |
00.9875 |
0.9878 |
0.9881 |
0.9884 |
0.9887 |
0.9890 |
|
2.3 |
0.9893 |
0.9896 |
0.9898 |
0.9901 |
0.9904 |
0.9906 |
0.9909 |
0.9911 |
0.9913 |
0.9916 |
|
2.4 |
0.9918 |
0.9920 |
0.9922 |
0.9925 |
0.9927 |
0.9929 |
0.9931 |
0.9932 |
0.9934 |
0.9936 |
|
2.5 |
0.9938 |
0.9940 |
0.9941 |
0.9943 |
0.9945 |
0.9946 |
0.9948 |
0.9949 |
0.9951 |
0.9952 |
|
2.6 |
0.9953 |
0.9955 |
0.9956 |
0.9957 |
0.9959 |
0.9960 |
0.9961 |
0.9962 |
0.9963 |
0.9964 |
|
2.7 |
0.9965 |
0.9966 |
0.9967 |
0.9968 |
0.9969 |
0.9970 |
0.9971 |
0.9972 |
0.9973 |
0.9974 |
|
2.8 |
0.9974 |
0.9975 |
0.9976 |
0.9977 |
0.9977 |
0.9978 |
0.9979 |
0.9979 |
0.9980 |
0.9981 |
|
2.9 |
0.9981 |
0.9982 |
0.9982 |
0.9983 |
0.9984 |
0.9984 |
0.9985 |
0.9985 |
0.9986 |
0.9986 |
|
3.0 |
0.9987 |
0.9987 |
0.9987 |
0.9988 |
0.9988 |
0.9989 |
0.9989 |
0.9989 |
0.9990 |
0.9990 |
|
3.1 |
0.9990 |
0.9991 |
0.9991 |
0.9991 |
0.9992 |
0.9992 |
0.9992 |
0.9992 |
0.9993 |
0.9993 |
|
3.2 |
0.9993 |
0.9993 |
0.9994 |
0.9994 |
0.9994 |
0.9994 |
0.9994 |
0.9995 |
0.9995 |
0.9995 |
|
3.3 |
0.9995 |
0.9995 |
0.9995 |
0.9996 |
0.9996 |
0.9996 |
0.9996 |
0.9996 |
0.9996 |
0.9997 |
|
3.4 |
0.9997 |
0.9997 |
0.9997 |
0.9997 |
0.9997 |
0.9997 |
0.9997 |
0.9997 |
0.9997 |
0.9998 |
|
|
|
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