possible A B 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? Click here to view the Colleges and Universities data 1 Liberal Arts Colleges Median SAT score Research Universities Median SAT score 2 1164 1114 3 1201 1152 4 1203 1150 5 1208 1175 6 1216 1186 7 1218 1208 8 1235 1226 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 9 1234 1221 10 1234 1238 11 1235 1271 12 1249 1268 (Use ascending order. Round to four decimal places as needed) 13 1242 1290 Based on the above results, does there appear to be a difference in the median SAT scores between the two groups? 14 1253 1278 15 1258 1288 16 1266 1281 The mean of the median SATS for liberal art colleges is the mean of the median 17 1264 1308 SATS for research universities, because the confidence intervals 18 1284 1303 19 1285 1327 20 1293 1347 21 1310 1346 22 1310 1366 23 1311 1367 24 1323 1371 25 1311 1392 26 1345 27

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Question
None
possible
A
B
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?
Click here to view the Colleges and Universities data
1 Liberal Arts Colleges Median SAT score
Research Universities Median SAT score
2
1164
1114
3
1201
1152
4
1203
1150
5
1208
1175
6
1216
1186
7
1218
1208
8
1235
1226
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
9
1234
1221
10
1234
1238
11
1235
1271
12
1249
1268
(Use ascending order. Round to four decimal places as needed)
13
1242
1290
Based on the above results, does there appear to be a difference in the median SAT scores between the
two groups?
14
1253
1278
15
1258
1288
16
1266
1281
The mean of the median SATS for liberal art colleges is
the mean of the median
17
1264
1308
SATS for research universities, because the confidence intervals
18
1284
1303
19
1285
1327
20
1293
1347
21
1310
1346
22
1310
1366
23
1311
1367
24
1323
1371
25
1311
1392
26
1345
27
Transcribed Image Text:possible A B 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? Click here to view the Colleges and Universities data 1 Liberal Arts Colleges Median SAT score Research Universities Median SAT score 2 1164 1114 3 1201 1152 4 1203 1150 5 1208 1175 6 1216 1186 7 1218 1208 8 1235 1226 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 9 1234 1221 10 1234 1238 11 1235 1271 12 1249 1268 (Use ascending order. Round to four decimal places as needed) 13 1242 1290 Based on the above results, does there appear to be a difference in the median SAT scores between the two groups? 14 1253 1278 15 1258 1288 16 1266 1281 The mean of the median SATS for liberal art colleges is the mean of the median 17 1264 1308 SATS for research universities, because the confidence intervals 18 1284 1303 19 1285 1327 20 1293 1347 21 1310 1346 22 1310 1366 23 1311 1367 24 1323 1371 25 1311 1392 26 1345 27
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