Using the accompanying colleges and universities data to find 95% confidence intervals for the mean SAT for each of the two groups, liberal arts colleges and research universities. Based on these confidence intervals, does there appear to be a difference in the median SAT scores between the two groups?For the liberal art colleges, the 95% confidence interval is?(Use ascending order.Round to four decimal places as needed.)For the research universities, the 95% confidence interval is?(Use ascending order. Round to four decimal places as needed.) 4 of 4 (4 complete) ▼Colleges and Universities data- XJata to find 95%between the twearch universities data.Median SATLiberal Arts CollegesResearch Universitiesrval iss as needed.)1161119411171144119111541204118212151196122012251237123012301218123912251241125812461270124912701245127412641285lick Check AnswePrinDone 4 of 4 (4 complete)- XColleges and Universities dataearo find 95%reen the twta.1241125812461270is Os needed)124912701245127412641285126812971257131012761320128613261296133712901351129913671316136313071363131713921335n click Check AnswePrintDorie

We first compute the mean and standard deviation for the two groups using excel as below: Liberal…

Answered: Using the accompanying colleges and…

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Using the accompanying colleges and universities data to find 95% confidence intervals for the mean SAT for each of the two groups, liberal arts colleges and research universities. Based on these confidence intervals, does there appear to be a difference in the median SAT scores between the two groups? For the liberal art colleges, the 95% confidence interval is? (Use ascending order.Round to four decimal places as needed.) For the research universities, the 95% confidence interval is? (Use ascending order. Round to four decimal places as needed.)

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- X
Jata to find 95%
between the tw
earch universitie
s data.
Median SAT
Liberal Arts Colleges
Research Universities
rval is
s as needed.)
1161
1194
1117
1144
1191
1154
1204
1182
1215
1196
1220
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1237
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1230
1218
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1225
1241
1258
1246
1270
1249
1270
1245
1274
1264
1285
lick Check Answe
Prin
Done

4 of 4 (4 complete)
- X
Colleges and Universities data
ear
o find 95%
reen the tw
ta.
1241
1258
1246
1270
is O
s needed)
1249
1270
1245
1274
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1297
1257
1310
1276
1320
1286
1326
1296
1337
1290
1351
1299
1367
1316
1363
1307
1363
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1392
1335
n click Check Answe
Print
Dorie

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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