The number of hours 10 students spent studying for a test and their scores on that test are shown in the table. Is there enough evidence to conclude that there is a significant linear correlation between the data? Use a = 0.05. Hours, x 0 4 4 5 57 62 70 Test score, y 38 Click here to view a table of critical values for Student's t-distribution. Setup the hypothesis for the test. Ho: P Ha: P 0 1 45 0 2 51 5 73 6 76 7 80 91 8 D

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The number of hours 10 students spent studying for a test and their scores on that test are shown in the table. Is there enough evidence to conclude that there is a significant linear correlation
between the data? Use α = 0.05.
Hours, x
0
1
2
4 4 5
57 62 70
51
Test score, y 38 45
Click here to view a table of critical values for Student's t-distribution.
Setup the hypothesis for the test.
Ho: P
Ha: P
▼0
0
5
73
6
76
8 D
7
80 91
Transcribed Image Text:The number of hours 10 students spent studying for a test and their scores on that test are shown in the table. Is there enough evidence to conclude that there is a significant linear correlation between the data? Use α = 0.05. Hours, x 0 1 2 4 4 5 57 62 70 51 Test score, y 38 45 Click here to view a table of critical values for Student's t-distribution. Setup the hypothesis for the test. Ho: P Ha: P ▼0 0 5 73 6 76 8 D 7 80 91
d.f.
1
2
3
45678
Level of
confidence, c
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
One tail, a
Two tails, a
0.50
0.25
0.50
0.95
0.98
0.025 0.01
0.10 0.05
0.02
0.01
1.000
3.078
6.314 12.706 31.821
63.657
0.816
1.886 2.920 4.303 6.965
9.925
4.541
5.841
0.765 1.638 2.353 3.182
0.741 1.533 2.132 2.776 3.747
4.604
3.365
4.032
0.727 1.476 2.015 2.571
0.718 1.440 1.943 2.447
3.143
3.707
0.711
1.415 1.895 2.365
2.998
3.499
0.706
1.397 1.860 2.306
2.896
3.355
2.262
2.821
3.250
0.703 1.383 1.833
0.700 1.372 1.812 2.228
2.764 3.169
2.718
3.106
2.681 3.055
3.012
0.697 1.363 1.796 2.201
0.695 1.356 1.782 2.179
0.694 1.350 1.771 2.160 2.650
0.692 1.345 1.761 2.145 2.624 2.977
0.691 1.341 1.753 2.131 2.602 2.947
0.690 1.337 1.746 2.120 2.583 2.921
2.898
2.878
0.689 1.333 1.740 2.110 2.567
0.688 1.330 1.734 2.101 2.552
0.688 1.328 1.729 2.093 2.539 2.861
0.687 1.325 1.725 2.086 2.528 2.845
0.686 1.323 1.721
2.080
2.518
2.831
1.717 2.074
2.508
0.686 1.321
0.685 1.319 1.714 2.069
2.500
0.685 1.318
1.711 2.064 2.4921
0.80
0.90
0.10 0.05
0.20
0.99
0.005
2.819
2.807
2.797
Transcribed Image Text:d.f. 1 2 3 45678 Level of confidence, c 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 One tail, a Two tails, a 0.50 0.25 0.50 0.95 0.98 0.025 0.01 0.10 0.05 0.02 0.01 1.000 3.078 6.314 12.706 31.821 63.657 0.816 1.886 2.920 4.303 6.965 9.925 4.541 5.841 0.765 1.638 2.353 3.182 0.741 1.533 2.132 2.776 3.747 4.604 3.365 4.032 0.727 1.476 2.015 2.571 0.718 1.440 1.943 2.447 3.143 3.707 0.711 1.415 1.895 2.365 2.998 3.499 0.706 1.397 1.860 2.306 2.896 3.355 2.262 2.821 3.250 0.703 1.383 1.833 0.700 1.372 1.812 2.228 2.764 3.169 2.718 3.106 2.681 3.055 3.012 0.697 1.363 1.796 2.201 0.695 1.356 1.782 2.179 0.694 1.350 1.771 2.160 2.650 0.692 1.345 1.761 2.145 2.624 2.977 0.691 1.341 1.753 2.131 2.602 2.947 0.690 1.337 1.746 2.120 2.583 2.921 2.898 2.878 0.689 1.333 1.740 2.110 2.567 0.688 1.330 1.734 2.101 2.552 0.688 1.328 1.729 2.093 2.539 2.861 0.687 1.325 1.725 2.086 2.528 2.845 0.686 1.323 1.721 2.080 2.518 2.831 1.717 2.074 2.508 0.686 1.321 0.685 1.319 1.714 2.069 2.500 0.685 1.318 1.711 2.064 2.4921 0.80 0.90 0.10 0.05 0.20 0.99 0.005 2.819 2.807 2.797
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