A researcher with the Department of Education followed a cohort of students who graduated from high school in a certain year, monitoring the progress the students made toward completing a bachelor's degree. One aspect of his research was to determine whether students who first attended community college took longer to attain a bachelor's degree than those who immediately attended and remained at a 4-year institution. The data in the table attached below summarize the results of nis study. Complete parts a) through e) below. Click here to view the sample data, Click here to view Student's t-distribution table. Student's t-distribution table a) What is the response variable in this study? What is the explanatory variable? & A. The response variable is the time to graduate. The explanatory variable is the use of community college or not. O B. The response variable is the use of community college or not. The explanatory variable is the time to graduate. OC. The response variable is the time to graduate. The explanatory variable is the number of students. O D. The response variable is the number of students. The explanatory variable is the time to graduate. Area in vight tail b) Explain why this study can be analyzed using inference of two sample means. Select all that apply. -Distribution Area in Right Tail Degrees of A. The sample sizes are large (both greater than or equal to 30). Freedom 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0,01 0.005 0.0025 0.001 0.0005 O B. The population is given to be normally distributed. 12.706 15.894 4.303 3.182 2.776 2.571 31.821 63657 6.965 9.925 4.541 127.321 318.309 636.619 22.327 10.215 Z173 1.376 1.000 0816 0.765 0.741 0.727 1963 1.061 1386 1.250 1.190 1.156 3.078 1886 1638 1533 6.314 2.920 2.353 2.132 2.015 31.599 12.924 8610 6.869 4.849 O C. The samples can be reasonably assumed to be random. 14.089 2453 5.598 4.773 0.978 3482 2.999 2.757 5.841 0.941 0.920 3.747 3.365 4.604 OD. The sample sizes are not more than 5% of the population. 1476 4.032 5.893 1.134 L119 1.108 L100 1.943 1.895 1860 1.833 1812 0.718 0.711 0.706 0.703 0.700 0.906 0,806 0.889 0.883 0879 1440 1415 1.397 1383 1372 2447 2.365 2.612 2.517 2.449 2.398 2.359 3.143 2.998 3.707 3.499 3.355 4317 4.029 3.833 3.690 3.581 5.208 4.785 4.501 5.959 5.408 5.041 4.781 4.587 DE. The samples are independent. 2.306 2.262 2.228 2.896 2.821 2.764 3.250 3.169 4.297 4.144 10 1093 O sample data 0 607 0.697 0.695 0.694 0,692 0.691 0,690 0.689 0.876 LO88 LO83 1079 1076 1074 1.363 1.356 1.350 1345 1341 1.796 1.782 1.771 1.761 1.753 2.201 2.179 2.160 2.145 2.131 2.328 2.303 2.282 2.264 2.249 2.718 2.681 2.650 2624 2.602 3.106 3.055 3.012 2.977 2.947 3497 3428 3372 3.326 3.286 4.025 3.930 3.852 3.787 3.733 4.437 4318 4.221 4.140 4.073 0873 0870 12 13 14 15 0.866 Community College Transfer 274 No Transfer 16 17 18 19 0.865 0863 062 0.861 L071 1.069 L067 1337 1333 1330 1.746 1.740 1.734 1.729 1.725 2.120 2.110 2.101 2.093 2.086 2.235 2.224 2.214 2.205 2.197 2.583 2.567 2552 2.539 2.528 2.921 2.898 2.878 2.861 2845 3.252 3.222 3.197 3.174 3.153 3.686 0.688 0.688 0.687 3.646 3.610 3.579 3.552 4.015 3.965 3.922 3.883 3850 1190 1066 1.064 1.328 1325 Sample mean time to graduate, in years Sample standard deviation time to graduate in voare 5.45 4.53 20 0.860 21 22 23 24 0.686 0,686 0.685 0685 0.859 0.858 0.858 0857 1063 1061 1060 1.059 1.323 1321 1319 1318 1.721 1.717 1.714 1.711 2.080 2.074 2.069 2.064 2.189 2.183 2.177 2.172 2518 2.508 2.500 2.492 2831 2819 2807 2.797 3.135 3.119 3.104 3.091 3.527 3.505 3.485 3.467 3.819 3.792 3.768 3.745 1.142 1.002
A researcher with the Department of Education followed a cohort of students who graduated from high school in a certain year, monitoring the progress the students made toward completing a bachelor's degree. One aspect of his research was to determine whether students who first attended community college took longer to attain a bachelor's degree than those who immediately attended and remained at a 4-year institution. The data in the table attached below summarize the results of nis study. Complete parts a) through e) below. Click here to view the sample data, Click here to view Student's t-distribution table. Student's t-distribution table a) What is the response variable in this study? What is the explanatory variable? & A. The response variable is the time to graduate. The explanatory variable is the use of community college or not. O B. The response variable is the use of community college or not. The explanatory variable is the time to graduate. OC. The response variable is the time to graduate. The explanatory variable is the number of students. O D. The response variable is the number of students. The explanatory variable is the time to graduate. Area in vight tail b) Explain why this study can be analyzed using inference of two sample means. Select all that apply. -Distribution Area in Right Tail Degrees of A. The sample sizes are large (both greater than or equal to 30). Freedom 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0,01 0.005 0.0025 0.001 0.0005 O B. The population is given to be normally distributed. 12.706 15.894 4.303 3.182 2.776 2.571 31.821 63657 6.965 9.925 4.541 127.321 318.309 636.619 22.327 10.215 Z173 1.376 1.000 0816 0.765 0.741 0.727 1963 1.061 1386 1.250 1.190 1.156 3.078 1886 1638 1533 6.314 2.920 2.353 2.132 2.015 31.599 12.924 8610 6.869 4.849 O C. The samples can be reasonably assumed to be random. 14.089 2453 5.598 4.773 0.978 3482 2.999 2.757 5.841 0.941 0.920 3.747 3.365 4.604 OD. The sample sizes are not more than 5% of the population. 1476 4.032 5.893 1.134 L119 1.108 L100 1.943 1.895 1860 1.833 1812 0.718 0.711 0.706 0.703 0.700 0.906 0,806 0.889 0.883 0879 1440 1415 1.397 1383 1372 2447 2.365 2.612 2.517 2.449 2.398 2.359 3.143 2.998 3.707 3.499 3.355 4317 4.029 3.833 3.690 3.581 5.208 4.785 4.501 5.959 5.408 5.041 4.781 4.587 DE. The samples are independent. 2.306 2.262 2.228 2.896 2.821 2.764 3.250 3.169 4.297 4.144 10 1093 O sample data 0 607 0.697 0.695 0.694 0,692 0.691 0,690 0.689 0.876 LO88 LO83 1079 1076 1074 1.363 1.356 1.350 1345 1341 1.796 1.782 1.771 1.761 1.753 2.201 2.179 2.160 2.145 2.131 2.328 2.303 2.282 2.264 2.249 2.718 2.681 2.650 2624 2.602 3.106 3.055 3.012 2.977 2.947 3497 3428 3372 3.326 3.286 4.025 3.930 3.852 3.787 3.733 4.437 4318 4.221 4.140 4.073 0873 0870 12 13 14 15 0.866 Community College Transfer 274 No Transfer 16 17 18 19 0.865 0863 062 0.861 L071 1.069 L067 1337 1333 1330 1.746 1.740 1.734 1.729 1.725 2.120 2.110 2.101 2.093 2.086 2.235 2.224 2.214 2.205 2.197 2.583 2.567 2552 2.539 2.528 2.921 2.898 2.878 2.861 2845 3.252 3.222 3.197 3.174 3.153 3.686 0.688 0.688 0.687 3.646 3.610 3.579 3.552 4.015 3.965 3.922 3.883 3850 1190 1066 1.064 1.328 1325 Sample mean time to graduate, in years Sample standard deviation time to graduate in voare 5.45 4.53 20 0.860 21 22 23 24 0.686 0,686 0.685 0685 0.859 0.858 0.858 0857 1063 1061 1060 1.059 1.323 1321 1319 1318 1.721 1.717 1.714 1.711 2.080 2.074 2.069 2.064 2.189 2.183 2.177 2.172 2518 2.508 2.500 2.492 2831 2819 2807 2.797 3.135 3.119 3.104 3.091 3.527 3.505 3.485 3.467 3.819 3.792 3.768 3.745 1.142 1.002
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Transcribed Image Text:A researcher with the Department of Education followed a cohort of students who graduated from high school in a certain year, monitoring the progress the students made toward completing a bachelor's degree. One aspect of his research was to
determine whether students who first attended community college took longer to attain a bachelor's degree than those who immediately attended and remained at a 4-year institution. The data in the table attached below summarize the results of
his study. Complete parts a) through e) below.
Click here to view the sample data.
Click here to view Student's t-distribution table.
Student's t-distribution table
a) What is the response variable in this study? What is the explanatory variable?
A. The response variable is the time to graduate. The explanatory variable is the use of community college or not.
B. The response variable is the use of community college or not. The explanatory variable is the time to graduate.
C. The response variable is the time to graduate. The explanatory variable is the number of students.
Area in
D. The response variable is the number of students. The explanatory variable is the time to graduate.
right tail
t-Distribution
b) Explain why this study can be analyzed using inference of two sample means. Select all that apply.
Area in Right Tail
Degrees of
Freedom
A. The sample sizes are large (both greater than or equal to 30).
0.25
0.20
0.15
0.10
0.05
0.025
0.02
0.01
0.005
0.0025
0.001
0.0005
B. The population is given to be normally distributed.
1.000
0.816
0.765
0.741
0.727
1.376
1.061
0.978
0.941
0.920
1.963
1.386
1.250
1.190
1.156
3.078
1.886
1.638
1.533
1.476
6.314
2.920
2.353
2.132
2.015
12.706
4.303
3.182
15.894
4.849
3.482
2.999
2.757
318.309 636.619
22.327
10.215
7173
31.821
6.965
63.657
9.925
5.841
127.321
14.089
7453
5.598
4.773
31.599
4.541
3.747
3.365
C. The samples can be reasonably assumed to be random.
4.604
4.032
12.924
8.610
6.869
4
2.776
D. The sample sizes are not more than 5% of the population.
2.571
5.893
0.718
0.711
0.706
0.703
0.700
2.447
2.365
2.306
2.262
2.228
2.612
2.517
2.449
2.398
2.359
3.143
3.707
3.499
3.355
3.250
3.169
5.208
4.785
4.501
4.297
4.144
5.959
5.408
5.041
0.906
0.896
1.134
1.119
1.108
1.100
1.440
1.415
1.397
1.383
1.372
1.943
1.895
1.860
1.833
1.812
4.317
4.029
3.833
3.690
3.581
E. The samples are independent.
0.889
0.883
0.879
2.998
2.896
2.821
2.764
8
4.781
4.587
10
1.093
i
sample data
0.697
0.695
0.694
0.692
0.691
1.796
1.782
1.771
1.761
1.753
4.025
3.930
3.852
3.787
3.733
1.088
2.201
2.328
2.303
2.282
2.718
11
12
13
14
15
0.876
0.873
0.870
0.868
0.866
1.363
1.356
1.350
1.345
1.341
3.106
3.055
3.012
2.977
2.947
3.497
3.428
3.372
3.326
3.286
4.437
4.318
4.221
4.140
4.073
1.083
1.079
2.179
2.160
2.145
2.131
2.681
2.650
2.624
2.602
1.076
2.264
2.249
1.074
Community
College Transfer
No Transfer
0.690
0.689
0.688
0.688
0.687
1.337
1.333
1.330
1.328
1.325
2.921
2.898
2.878
2.861
2.845
0.865
0,863
1.746
2.235
16
17
18
19
20
0.862
0.861
0.860
1.071
1.069
1.067
1.066
1.064
1.740
1.734
1.729
1.725
2.120
2.110
2.101
2.093
2.086
2.224
2.214
2.205
2.197
2.583
2.567
2.552
2.539
2.528
3.252
3.222
3.197
3.174
3.153
3.686
3.646
3.610
3.579
3.552
4.015
3.965
3.922
3.883
3.850
274
1190
Sample mean time to
graduate, in years
Sample standard
deviation time to
5.45
4.53
1.063
0.686
0.686
0.685
0.685
0.684
0.859
0.858
0.858
0.857
0.856
1.323
1.321
1.319
1.318
1.316
2.189
2.183
2.177
2.172
2.167
2.518
2.508
2.500
2.492
2.485
2.831
21
22
23
24
25
1.721
1.717
1.714
1.711
1.708
2.080
2.074
2.069
2.064
2.060
3.135
3.119
3.104
3.527
3.505
3.485
3.467
3.450
3.819
3.792
3.768
3.745
3.725
1.142
1.002
1.061
1.060
1.059
1.058
2.819
2.807
2.797
2.787
3.091
graduate, in years
3.078
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