Answered: Using the accompanying colleges and…

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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Using the accompanying colleges and universities data to find 95% confidence intervals for the median 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 arts colleges, the 95% confidence interval is?(round to four decimal places as needed) For the research universities, the 95% confidence interval is?(round to four decimal places as needed) Based on the results, does there appear to be a difference in the median SAT scores between the two groups?

1 Colleges and Universities data
to find 95%
een the tw
a.
Median SAT
Liberal Arts Colleges
Research Universities
1178
1105
eeded)
1203
1148
1190
1152
al is
eeded)
1210
1179
1214
1204
ifference in
1217
1215
1227
1222
1242
1220
1239
1223
1238
1274
1244
1273
1276
1258
1262
1262
1285
1288

tw
1238
1274
1244
1273
1258
1276
1262
1285
1262
1288
1267
1293
1254
1302
ce in
1284
1310
1290
1336
1283
1340
1310
1342
1309
1363
1300
1379
1314
1368
1317
1395
1330

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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