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 2 4 51 52 Test score, y 37 Click here to view a table of critical values for Student's t-distribution. Setup the hypothesis for the test. Ho: P Ha: P 1 40 0 0 There 4 63 and to =. Calculate the test statistic. t= (Round to three decimal places as needed.) What is your conclusion? 5 68 5 71 6 71 Identify the critical value(s). Select the correct choice below and fill in any answer boxes within your choice. (Round to three decimal places as needed.) OA. The critical value is OB. The critical values are -to = 7 80 94 8 D enough evidence at the 5% level of significance to conclude that there a significant linear correlation between hours spent studying and test score.

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6th Edition
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Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Data table
d.f.
1
2345
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
Level of
confidence, c
One tail, a
Two tails, a
0.50
0.80
0.90
0.95
0.98
0.99
0.25
0.10
0.05 0.025
0.01
0.005
0.50 0.20
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
0.765
4.541
5.841
0.741
4.604
4.032
1.638 2.353 3.182
1.533 2.132 2.776 3.747
0.727 1.476 2.015 2.571 3.365
0.718 1.440 1.943 2.447 3.143
0.711 1.415 1.895 2.365 2.998
1.397 1.860 2.306 2.896 3.355
3.707
3.499
0.706
2.262
2.821
3.250
2.764 3.169
0.703 1.383 1.833
0.700 1.372 1.812 2.228
0.697 1.363 1.796
0.695 1.356
2.201
2.718
3.106
1.782 2.179 2.681
3.055
0.694 1.350 1.771 2.160
2.650
3.012
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
0.689
1.740 2.110
2.567
2.898
0.688
1.734 2.101 2.552 2.878
0.688 1.328 1.729
2.093
2.539
2.861
2.086
2.528 2.845
0.687 1.325 1.725
0.686 1.323 1.721
1.717 2.074 2.508
2.080 2.518
2.831
0.686 1.321
2.819
1.333
1.330
Transcribed Image Text:Data table d.f. 1 2345 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Level of confidence, c One tail, a Two tails, a 0.50 0.80 0.90 0.95 0.98 0.99 0.25 0.10 0.05 0.025 0.01 0.005 0.50 0.20 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 0.765 4.541 5.841 0.741 4.604 4.032 1.638 2.353 3.182 1.533 2.132 2.776 3.747 0.727 1.476 2.015 2.571 3.365 0.718 1.440 1.943 2.447 3.143 0.711 1.415 1.895 2.365 2.998 1.397 1.860 2.306 2.896 3.355 3.707 3.499 0.706 2.262 2.821 3.250 2.764 3.169 0.703 1.383 1.833 0.700 1.372 1.812 2.228 0.697 1.363 1.796 0.695 1.356 2.201 2.718 3.106 1.782 2.179 2.681 3.055 0.694 1.350 1.771 2.160 2.650 3.012 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 0.689 1.740 2.110 2.567 2.898 0.688 1.734 2.101 2.552 2.878 0.688 1.328 1.729 2.093 2.539 2.861 2.086 2.528 2.845 0.687 1.325 1.725 0.686 1.323 1.721 1.717 2.074 2.508 2.080 2.518 2.831 0.686 1.321 2.819 1.333 1.330
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
Test score, y
37
Click here to view a table of critical values for Student's t-distribution.
2
1
40 51
Setup the hypothesis for the test.
Ho: Po
0
Ha: P ▼0 0
4
52
4 5
63 68
Calculate the test statistic.
t= (Round to three decimal places as needed.)
What is your conclusion?
There
5
6
71 71
▸
7 8
80 94
Identify the critical value(s). Select the correct choice below and fill in any answer boxes within your choice.
(Round to three decimal places as needed.)
OA. The critical value is
OB. The critical values are - to= and to =.
enough evidence at the 5% level of significance to conclude that there
C
a significant linear correlation between hours spent studying and test score.
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 Test score, y 37 Click here to view a table of critical values for Student's t-distribution. 2 1 40 51 Setup the hypothesis for the test. Ho: Po 0 Ha: P ▼0 0 4 52 4 5 63 68 Calculate the test statistic. t= (Round to three decimal places as needed.) What is your conclusion? There 5 6 71 71 ▸ 7 8 80 94 Identify the critical value(s). Select the correct choice below and fill in any answer boxes within your choice. (Round to three decimal places as needed.) OA. The critical value is OB. The critical values are - to= and to =. enough evidence at the 5% level of significance to conclude that there C a significant linear correlation between hours spent studying and test score.
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