Create and Analyze a self-design fictitious study

Gannon, L_BTM7104-8-8 14

Introduction

For this assignment, I will attempt to accurately complete an analysis based on a fictitious study that uses the tool and resources learned during my eight weeks in this class. There were many areas in which I could have looked to study, but one that has always interested me is the link from Standard Aptitude Test (SAT) scores to actual grade point averages in students that attend college. I have always believed that the SAT or any standardized testing was merely another hurdle making it difficult for those qualified students to gain access to some of the best schools in the United States. Therefore, my fictitious study will take a look at this issue at hand.

Question 1

Describe your research study.

As previously mentioned, I have always had a keen interest in understanding if a standardized test is really indicative of a student’s performance at his or her college. Therefore, I conducted a survey of students at a local University to test my theory. I have always believed that regardless of how low someone scores (in this case I will use 1200 out of 1600 on the SAT score) I don’t believe it is a good enough indicator to determine how successful a student will be after entering school, or better yet if it should be used as one of the key determinates for acceptance into one of the nation’s most prestigious Universities.

Therefore, I set out to determine if SAT scores have some correlation to actual GPA. In an attempt to manage the study, I limited this to study to only females since I can identify with this group and only freshman who have finished a full year and are planning to continue to study at this University for at least the next three years. The minimum requirement is that they also had to have entered school immediately after high school and have completed their SAT sometime during their junior year of high school.

Therefore, I was able to collect data from over five hundred students, but only fifty met the criteria mentioned above. This data was random based on the criteria above and included fifty female students that have just completed their first year of the University and all have excelled in their studies with a 3.0 or greater. This GPA score is critical to the study because I would like to fully understand through the data analysis if SAT scores have some correlation to the success of these students.

Question 2

State your hypothesis.

As we learned in this course, statistics is mainly about testing a hypothesis. To construct any study, it is normal to have some hypothesis to either prove or disprove. In this study, I am looking to prove that regardless of SAT scores that University student still prove to be successful in their studies.

Therefore, I must then use the statistics theories of null and alternative hypothesis testing. A null hypothesis reflects the idea that there will be no observed effect in our statistical findings. (Unknown. http://statistics.about.com/od/Inferential-Statistics/a/An-Example-Of-A-Hypothesis-Test.htm). Therefore in this study we will use an artificially low number of 1200 on the SATs to prove that the sample population mean can still achieve high grade point averages during their studies.

Null hypothesis = 1200

The purpose of an alternative hypothesis is to show that there will be an actual observed effect for this experiment. In other words, I am attempting to prove indirectly through the data that students who score lower than 1200 can still be successful in their studies by achieving a 3.0 GPA or better. Therefore we would then say that our alternative hypothesis is less than 1200.

Alternative hypothesis < 1200

Question 3

The Variables

As we dive into the details of any study it is first good to level set an understand that this particular study is a retrospective study because we are looking at some data sets that occurred in the past such as the SAT scores. As we look at defining the needs of this study, it is important to understand that there are three variables that need to be assessed to ensure the accuracy of the statistical analysis. There are three variables that are identified in the current study: a dependent variable, an independent variable and a control.

First is the dependent variable, which is believed to be what will be affected during the experiment. In this instance it is the GPA score of the students as this is what is ultimately being measured.

Second is the independent variable, which is believed to affect the overall dependent variable. In this case, it is the SAT that we can test to see if there is an overall impact of the freshman’s GPA.

And last is the control variable(s) which are the variables in a study that should be held constant. (Unknown, http://www2.lv.psu.edu/jxm57/irp/var.htm) In this instance as noted above there are a few specific control variables that limit this to study to only females who have finished a full year at the University and are planning to continue to study at this University for at least the next three years. In addition, they also had to have entered school immediately after high school and have completed their SAT sometime during their junior year of high school.

Question 4

The Data Set

As noted in the study overview, I was able to collect data from over five hundred students, but only fifty met the criteria I was looking to study. This data was random based on the above mentioned and included fifty female students that have just completed their first year of the University and all have excelled in their studies with a 3.0 or greater. This GPA score is critical to the study because I would like to fully understand through the data analysis if SAT scores have some correlation to the success of these students.

Below is the actual data set:

Freshman (Female) GPA (All above 3.0)	Combined SAT Score
3.46	1232
3.79	1070
3.53	1086
3.68	1287
3.25	1130
3.11	1048
3.83	1121
3.37	1095
3.43	1135
3.52	1208
3.49	1333
3.15	1160
3.6	1186
3.47	1243
3.52	1261
3.69	1325
3.92	1387
3.73	1364
3.16	1065
3.49	1106
3.1	1175
3.72	1161
3.47	1226
3.33	1177
3.62	1421
3.83	1450
3.65	1118
3.2	1069
3.35	1331
3.49	1441
3.57	1415
3.82	1375
3.93	1420
4.01	1362
3.53	1061
3.72	1107
3.16	1272
3.23	1353
3.3	1164
3.04	1085
3.15	1231
3.53	1334
3.92	1187
3.84	1102
3.66	1221
3.42	1122
3.55	1064
3.67	1135
3.22	1192
3.35	1255

Question 5

Descriptive Data Analysis

*Self-Computed	Freshman (Female) GPA (All above 3.0)	Combined SAT Score
Median	3.52	1189.5
Mean	3.5114	1217.36
Mode	3.53	1135
Standard Deviation	0.251168778	119.5235029
(From Excel) Descriptive statistics (Quantitative data):
Statistic	Combined SAT Score
Nbr. of observations	50
Minimum	1048.000
Maximum	1450.000
1st Quartile	1118.750
Median	1189.500
3rd Quartile	1329.500
Mean	1217.360
Variance (n-1)	14285.868
Standard deviation (n-1)	119.524

In the above descriptive statistics, there are a lot of data points that need to be reviewed and validated. First, we can see from the data that there was the correct number of data points studies, fifty. In this snapshot we can also easily see through the minimum and maximum the range of scores from 1048-1450. At first glance it is easy to see that there is at least one student that supports the alternative hypothesis that females with 3.0 GPAs have SAT scores less than 1200.

Next we can observe the mean score which is 1217.36. If I were a layperson, I would look at this mean and assume that all students actually scored higher than 1200 therefore potentially causing a Type II error. Type II errors happen when there is a false negative and we do not reject a null hypothesis that is false.

Additionally, we are able to easily see the standard deviation. Standard deviations measure the actual deviation from the mean. In this data set we are able to see that with a normal distribution model that assumes a 95% confidence interval that thus far we are able to reject the null hypothesis since there are respondents scored between 1097.82 and 1336.884. This would then mean if we reject the null hypothesis that SAT scores are equal to 1200, we can then accept the alternative hypothesis.

From the two charts listed above, we can visually see that the distribution is normal. Therefore, as we continue to look at hypothesis testing we can continue to assume the normal distribution models and test our hypothesis at the 95% and 99%, or the .05 or .01.

In addition, to the quantitative descriptive statistics, I wanted to visually compare the GPAs to see if they were normally distributed as well. Based on the chart below, we are able to visually see there is a fairly normal distribution here as well and therefore I am confident we have a good sample set.

Question 6

Conduct the Appropriate Statistical Test (Hypothesis Testing)

One of the most important factors of statistical analysis is likely choosing the appropriate test to analyze. If you chose a test that is not accurate, your entire study could be ruined. Therefore, after reviewing my data I have assessed that there is a normal distribution model

and therefore can use standard hypothesis testing to test our hypothesis at the 95% and 99%, or the .05 or .01.

The question then remains, which test to use to get the correct analysis. In this study, we are trying to determine if the alternate hypothesis is “less than” the null hypothesis value of 1200. In this instance, since it is an inequality we would want to use a one tailed test. To further this thought, we would want to use a left tailed test because we are trying to determine if we are to accept the alternative hypothesis.

As noted in both the 99% and 95% confidence t-tests below, a the large p-value of 1 (or anything greater than .05 or .01 would suggest that we don’t have enough evidence to reject the null hypothesis. Therefore, we would accept the null hypothesis in this data set.

99% confidence interval on the difference between the means:
] -Inf ,	1258.010 [
Difference	1217.360
t (Observed value)	72.020
t (Critical value)	-2.405
DF	49
p-value (one-tailed)	1.000
alpha	0.01
Test interpretation:
H0: The difference between the means is equal to 0.
Ha: The difference between the means is lower than 0.
As the computed p-value is greater than the significance level alpha=0.01, one cannot reject the null hypothesis H0.
The risk to reject the null hypothesis H0 while it is true is 100.00%.

One-sample t-test / Lower-tailed test:
95% confidence interval on the difference between the means:
] -Inf ,	1245.699 [
Difference	1217.360
t (Observed value)	72.020
t (Critical value)	-1.677
DF	49
p-value (one-tailed)	1.000
Alpha	0.05
Test interpretation:
H0: The difference between the means is equal to 0.
Ha: The difference between the means is lower than 0.
As the computed p-value is greater than the significance level alpha=0.05, one cannot reject the null hypothesis H0.
The risk to reject the null hypothesis H0 while it is true is 100.00%.

Conclusion

After reviewing all the statistical data, I can confidently say now that we would have to accept the null hypothesis that SATs have some correlation to the success of college students reviewed in this study. I was somewhat surprised by this analysis since I have been a firm believer that the SAT testing was not indicative of the relative GPAs students would achieve, however this analysis proves that SATs and GPAs do have some correlation.

To further test this hypothesis, it might be good to broaden the number of participants to strengthen the study results. Also, further research could be done to broaden the scope of the study to examine the male population and or look at other classes such as the sophomore, junior or senior populations.

References:

1. Bennett, J. O., Briggs, W. L., & Triola, M. F. (2014). Statistical reasoning for everyday life (4th ed.). Boston: Pearson Education.

2. Clark-Fos.A. (1/20/17) Hypothesis Testing. Retrieved from http://www-personal.umd.umich.edu/~acfoos/Courses/381/08%20-%20Hypothesis%20Testing%20with%20z%20Tests.pdf

3. Unknown (1/20/2017) Define the Variables. Retrieved from http://www2.lv.psu.edu/jxm57/irp/var.htm

4. Unknown (1/20/2017) Hypothesis Testing – Null Versus Alternative. Retrieved from http://statistics.about.com/od/Inferential-Statistics/a/The-Difference-Between-The-Null-Hypothesis-And-Alternative-Hypothesis.htm

5. Unknown (1/20/2017) Left Tailed T-Test. Retrieved from https://people.richland.edu/james/lecture/m170/ch09-typ.html

6. Unknown (1/20/2017) SAT Testing. Retrieved from https://collegereadiness.collegeboard.org/sat

7. Zianotis, C. (1/17/2017). Real Statistics Using Excel. Retrieved from http://www.real-statistics.com/students-t-distribution/one-sample-t-test/

Box plot (Combined SAT Score)

Mean 1 1217.3599999999999 Minimum/Maximum 1 1 1048 1450 1.25 1.2492846924177397 1.2485693848354793 1.2478540772532187 1.2471387696709584 1.246423462088698 1.2457081545064377 1.2449928469241771 1.2442775393419168 1.2435622317596564 1.2428469241773961 1.2421316165951355 1.2414163090128751 1.2407010014306148 1.2399856938483544 1.2392703862660941 1.2385550786838335 1.2378397711015732 1.2371244635193128 1.2364091559370525 1.2356938483547919 1.2349785407725316 1.2342632331902712 1.2335479256080109 1.2328326180257505 1.2321173104434899 1.2314020028612296 1.2306866952789692 1.2299713876967089 1.2292560801144483 1.228540772532188 1.2278254649499276 1.2271101573676673 1.2263948497854067 1.2256795422031463 1.224964234620886 1.2242489270386256 1.2235336194563653 1.2228183118741047 1.2221030042918444 1.221387696709584 1.2206723891273237 1.2199570815450631 1.2192417739628028 1.2185264663805424 1.2178111587982821 1.2170958512160217 1.2163805436337611 1.2156652360515008 1.2149499284692404 1.2142346208869801 1.2135193133047195 1.2128040057224592 1.2120886981401988 1.2113733905579385 1.2106580829756779 1.2099427753934175 1.2092274678111572 1.2085121602288968 1.2077968526466365 1.2070815450643759 1.2063662374821156 1.2056509298998552 1.2049356223175949 1.2042203147353343 1.203505007153074 1.2027896995708136 1.2020743919885533 1.2013590844062927 1.2006437768240323 1.199928469241772 1.1992131616595116 1.1984978540772513 1.1977825464949907 1.1970672389127304 1.19635193133047 1.1956366237482097 1.1949213161659491 1.1942060085836887 1.1934907010014284 1.1927753934191681 1.1920600858369077 1.1913447782546471 1.1906294706723868 1.1899141630901264 1.1891988555078661 1.1884835479256055 1.1877682403433452 1.1870529327610848 1.1863376251788245 1.1856223175965641 1.1849070100143035 1.1841917024320432 1.1834763948497828 1.1827610872675225 1.1 820457796852619 1.1813304721030016 1.1806151645207412 1.1798998569384809 1.1791845493562203 1.17846924177396 1.1777539341916996 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0.88233190271815443 0.88161659513589397 0.88090128755363351 0.88018597997137316 0.87947067238911281 0.87875536480685246 0.878040057224592 0.87732474964233154 0.87660944206007119 0.87589413447781084 0.87517882689555038 0.87446351931328992 0.87374821173102957 0.87303290414876922 0.87231759656650876 0.8716022889842483 0.87088698140198795 0.8701716738197276 0.86945636623746725 0.86874105865520679 0.86802575107294633 0.86731044349068598 0.86659513590842563 0.86587982832616517 0.86516452074390471 0.86444921316164436 0.86373390557938401 0.86301859799712366 0.8623032904148632 0.86158798283260274 0.86087267525034239 0.86015736766808204 0.85944206008582158 0.85872675250356112 0.85801144492130077 0.85729613733904042 0.85658082975677996 0.8558655221745195 0.85515021459225915 0.8544349070099988 0.85371959942773845 0.85300429184547799 0.85228898426321753 0.85157367668095718 0.85085836909869683 0.85014306151643637 0.84942775393417591 0.84871244635191556 0.84799713876965521 0.84728183118739475 0.8465665236051344 0.84585121602287394 0.84513590844061359 0.84442060085835324 0.84370529327609278 0.84298998569383232 0.84227467811157197 0.84155937052931162 0.84084406294705116 0.8401287553647907 0.83941344778253035 0.83869814020027 0.83798283261800965 0.83726752503574919 0.83655221745348873 0.83583690987122838 0.83512160228896803 0.83440629470670757 0.83369098712444711 0.83297567954218676 0.83226037195992641 0.83154506437766595 0.83082975679540561 0.83011444921314514 0.8293991416308848 0.82868383404862445 0.82796852646636399 0.82725321888410352 0.82653791130184318 0.82582260371958283 0.82510729613732237 0.82439198855506191 0.82367668097280156 0.82296137339054121 0.82224606580828086 0.8215307582260204 0.82081545064375994 0.82010014306149959 0.81938483547923924 0.81866952789697878 0.81795422031471832 0.81723891273245797 0.81652360515019762 0.81580829756793716 0.8150929899856767 0.81437768240341635 0.813662374821156 0.81294706723889565 0.81223175965663519 0.81151645207437473 0.81080114449211438 0.81008583690985403 0.80937052932759357 0.80865522174533311 0.80793991416307276 0.80722460658081241 0.80650929899855195 0.8057939914162916 0.80507868383403114 0.80436337625177079 0.80364806866951044 0.80293276108724998 0.80221745350498952 0.80150214592272917 0.80078683834046882 0.80007153075820836 0.7993562231759479 0.79864091559368755 0.7979256080114272 0.79721030042916685 0.79649499284690639 0.79577968526464593 0.79506437768238558 0.79434907010012523 0.79363376251786477 0.79291845493560431 0.79220314735334396 0.79148783977108361 0.79077 253218882315 0.7900572246065628 0.78934191702430234 0.78862660944204199 0.78791130185978164 0.78719599427752118 0.78648068669526072 0.78576537911300037 0.78505007153074002 0.78433476394847956 0.7836194563662191 0.78290414878395875 0.7821888412016984 0.78147353361943805 0.78075822603717759 0.78004291845491713 0.77932761087265678 0.77861230329039643 0.77789699570813597 0.77718168812587551 0.77646638054361516 0.77575107296135482 0.77503576537909435 0.77432045779683389 0.77360515021457354 0.7728898426323132 0.77217453505005285 0.77145922746779239 0.77074391988553193 0.77002861230327158 0.76931330472101123 0.76859799713875077 0.76788268955649031 0.76716738197422996 0.76645207439196961 0.76573676680970926 0.7650214592274488 0.76430615164518834 0.76359084406292799 0.76287553648066764 0.76216022889840718 0.76144492131614672 0.76072961373388637 0.76001430615162602 0.75929899856936556 0.7585836909871051 0.75786838340484475 0.7571530758225844 0.75643776824032405 0.75572246065806359 0.75500715307580313 0.75429184549354278 0.75357653791128243 0.75286123032902197 0.75214592274676151 0.75143061516450116 0.75071530758224081 0.74999999999998035 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 111 8.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 1329.5 1118.75 0.9 1.1000000000000001 1 1 0.75 1.25 1.25 1.25 1.25 1.25 1 1 1.1000000000000001 0.9 1 1 0.75 0.75 0.75 1.25 0.75 0.75 0.75 1450 1450 1450 1329.5 1329.5 1329.5 1329.5 1189.5 1118.75 1118.75 1118.75 1048 1048 1048 1048 1118.75 1118.75 1118.75 1189.5 1189.5 1189.5 1329.5 1329.5

Combined SAT Score

Combined SAT Score 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 1325 1387 1364 1065 1106 1175 1161 1226 1177 1421 1450 1118 1069 1331 1441 1415 1375 1420 1362 1061 1107 1272 1353 1164 1085 1231 1334 1187 1102 1221 1122 1064 1135 1192 1255

Frequency (Freshman (Female) GPA (All above 3.0))

3.04 3.1 3.11 3.15 3.16 3.2 3.22 3.23 3.25 3.3 3.33 3.35 3.37 3.42 3.43 3.46 3.47 3.49 3.52 3.53 3.55 3.57 3.6 3.62 3.65 3.66 3.67 3.68 3.69 3.72 3.73 3.79 3.82 3.83 3.84 3.92 3.93 4.01 1 1 1 2 2 1 1 1 1 1 1 2 1 1 1 1 2 3 2 3 1 1 1 1 1 1 1 1 1 2 1 1 1 2 1 2 1 1

Frequency